{"text_format":"1","workbook":"xlsx","n_sheets":41,"sheets":["ES(30)","ES(31)","ES(32)","ES(33)","ES(34)","ES(35)","Detailed Topic List","Keyboards","Notes","Topics","Ch05","U(1)","U(2)","U(3)","U(3an)","U(4)","U(4an)","PopTestData","NormalAndStandardNormal","Normal <=","Normal < =","Normal >=","Normal > =","Normal Between","Normal Between ","Find x","Find x  ","Create Area Chart","Create Area Chart (an)","Above Chart","Between Chart","AccountingData","AccountingData (an)","GasData","GasData (an)","Catsup Filling Machine","Catsup Filling Machine (an)","Ex-Dick'sHam","Ex-Dick'sHam (an)","Exponential-DisneyWaitTime","Exponential-DisneyWaitTime "],"not_rendered":{"charts":25,"images":7,"macros":0,"external_links":0,"defined_names":87,"comments":8,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"ES(30)","index":0,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[1,1,6,9],[7,1,10,9],[11,1,14,9]]}
[]
[null,"Excel Business\nStatistical Analysis:"]
[]
[]
[]
[]
[]
[null,"Introduction to Continuous Probability Distributions"]
[]
[]
[]
[null,"Excel Business Statistics 30"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 24: Build Discrete Probability Distribution, Expected Value, S. Deviation"]
[null,{"$f":"LEN(B17)","v":100}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"ES(31)","index":1,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[1,1,6,9],[11,1,14,9],[7,1,10,4]]}
[]
[null,"Excel Business\nStatistical Analysis:"]
[]
[]
[]
[]
[]
[null,"Uniform\nDistribution"]
[]
[]
[]
[null,"Excel Business Statistics 31"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 24: Build Discrete Probability Distribution, Expected Value, S. Deviation"]
[null,{"$f":"LEN(B17)","v":100}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"ES(32)","index":2,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[11,1,14,9],[1,1,10,4]]}
[]
[null,"Excel Business\nStatistical Analysis:\n \nNormal Bell Probability Distribution"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Excel Business Statistics 32"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 32: Bell Curve Functions: NORM.DIST, NORM.S.DIST, NORM.INV, NORM.S.INV"]
[null,{"$f":"LEN(B17)","v":97}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"ES(33)","index":3,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[11,1,14,9],[1,1,10,4]]}
[]
[null," \nCharting\nBell\nCurve"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Excel Business Statistics 33"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 24: Build Discrete Probability Distribution, Expected Value, S. Deviation"]
[null,{"$f":"LEN(B17)","v":100}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"ES(34)","index":4,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[1,1,6,9],[7,1,10,9],[11,1,14,9]]}
[]
[null,"Excel Business\nStatistical Analysis:"]
[]
[]
[]
[]
[]
[null,"Solving Problems Using the Bell Curve and NORM.DIST function"]
[]
[]
[]
[null,"Excel Business Statistics 34"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 24: Build Discrete Probability Distribution, Expected Value, S. Deviation"]
[null,{"$f":"LEN(B17)","v":100}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"ES(35)","index":5,"n_rows":23,"n_cols":8,"rows_kept":23,"cut":false,"hidden":false,"merged":[[1,1,6,9],[7,1,10,9],[11,1,14,9]]}
[]
[null,"Excel Business\nStatistical Analysis:"]
[]
[]
[]
[]
[]
[null,"Exponential Probability Distribution\nand the EXPON.DIST Function"]
[]
[]
[]
[null,"Excel Business Statistics 35"]
[]
[]
[]
[]
[null,"Excel Statistical Analysis 24: Build Discrete Probability Distribution, Expected Value, S. Deviation"]
[null,{"$f":"LEN(B17)","v":100}]
[null,null,{"$f":"LEN(C18)","v":0}]
[]
[]
[]
[null,null,null,null,null,null,null,"Microsoft 365 Excel"]

{"sheet":"Detailed Topic List","index":6,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Keyboards","index":7,"n_rows":35,"n_cols":4,"rows_kept":35,"cut":false,"hidden":false,"merged":[]}
["Primary Key","Action","Keyboard Short Cut","Category"]
[1,"Move the Active Worksheet up or down","Ctrl + Page Up/Page Down","Navigation"]
[2,"Put content in Cell and move selected Cell down","Enter","Entering Data in a Cell"]
[3,"Put content in Cell and keep Cell selected","Ctrl + Enter","Entering Data in a Cell"]
[4,"Undo","Ctrl + Z","Basic"]
[5,"Copy","Ctrl + C","Basic"]
[6,"Paste","Ctrl + V","Basic"]
[7,"Cut","Ctrl + X","Basic"]
[8,"Bold","Ctrl + B","Basic"]
[9,"Put Cell in Edit Mode","F2","Formula Edit Mode Keys"]
[10,"Arrow to point to a formula Cell Reference","Arrow Keys","Formula Edit Mode Keys"]
[11,"SUM function","Alt + =","Formula Edit Mode Keys"]
[12,"Delete Cell content","Delete","Basic"]
[13,"Lock Cell Reference (make Absolute)","F4","Formula Edit Mode Keys"]
[14,"Put content in Cell and move selected Cell to right","Tab","Entering Data in a Cell"]
[15,"Put content in Cell and move selected Cell to left","Shift + Tab","Entering Data in a Cell"]
[16,"Jump to bottom of data set (Current Range)","Ctrl + Arrow","Navigation"]
[17,"Select to bottom of data set (Current Range)","Ctrl + Shift + Enter","Formula Edit Mode Keys"]
[18,"Put content in Cell and move selected Cell up","Shift + Enter","Entering Data in a Cell"]
[19,"Jump Back to Active Cell","Ctrl + Backspace","Formula Edit Mode Keys"]
[20,"Open Create PivotTable  dialog box","Alt, N, V","PivotTable"]
[21,"Format Chart Element with Task Pane","Ctrl + 1","Chart"]
[22,"Open Format Cells dialog box","Ctrl + 1","Format Cells"]
[23,"Jump to Cell A1","Ctrl + Home","Navigation"]
[24,"Jump to last Cell used","Ctrl + End","Navigation"]
[25,"Open Control Panel","Window + Pause/Break","Window Key"]
[26,"Show Desktop","Window + D\nor\nWindow + M","Window Key"]
[27,"Select Whole Table (Select Current Region)","Ctrl + * (on Number Pad)\nor\nCtrl + Shift + 8","Selection"]
[28,"Select Ranges not next to each other (noncontiguous ranges)","Ctrl + Mouse Click","Selection"]
[29,"Open Print Options and Print Preview view","Ctrl + P","Basic"]
[30,"Close Print Options and Print Preview view ","Esc","Basic"]
[31,"New Workbook File","Ctrl + N","Basic"]
[32,"Save As Dialog Box","F12","Basic"]
[33,"Find and Replace","Ctrl + H","Basic"]
[34]

{"sheet":"Notes","index":8,"n_rows":1,"n_cols":1,"rows_kept":1,"cut":false,"hidden":false,"merged":[]}
["See handwritten notes in PDF download at web site"]

{"sheet":"Topics","index":9,"n_rows":12,"n_cols":3,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Chapter 6"]
[]
[null,"Discrete Probability Distributions"]
[]
[]
[null,"Video 30","Introduction to Continuous Probability Distributions"]
[null,"Video 31","Uniform Probability Distribution"]
[null,"Video 32","Probabilities for Normal (Bell) Probability Distribution"]
[null,"Video 33","Normal (Bell) Probability Distribution Area Chart, X and Z Values"]
[null,"Video 34","Answering Probability Questions With NORM.DIST Function"]
[null,"Video 35","Exponential Probability Distribution & EXPON.DIST function"]

{"sheet":"Ch05","index":10,"n_rows":24,"n_cols":9,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
["A flight from Oakland to Seattle occurs 6 times per day. The probability that any 1 flight is late is 10%. "]
["What is the probability that exactly 2 planes are late? Less than 2 are late? What is the mean and standard deviation?"]
["Binomial Experiment?"]
[1,"Fixed # of Identical Trials = n",null,null,"Yes",null,{"$f":"\"Binomial Distribution, n = \"&E9&\", p = \"&E10","v":"Binomial Distribution, n = 6, p = 0.1"}]
[2,"Each trial only results in S or F",null,null,"Yes"]
[3,"p remains the same for each trial",null,null,"Yes"]
[4,"All events are independent",null,null,"Yes"]
[]
["n = # of Fixed Trials =# flights",null,null,null,6]
["p = Prob of Success =",null,null,null,0.1]
[{"$f":"\"Random Discrete Variable = x = Planes Late in \"&E9&\" Tries\"","v":"Random Discrete Variable = x = Planes Late in 6 Tries"},null,null,null,3,1]
[{"$f":"C16","v":"P(1<=x<=3) = 0.4673"},null,null,null,{"$f":"_xlfn.BINOM.DIST.RANGE(E9,E10,F11,E11)","v":0.46728899999999995}]
["Mean = µ = E(x) = Expected Value =",null,null,null,{"$f":"E9*E10","v":0.60000000000000009}]
["Standard Deviation = s =",null,null,null,{"$f":"E13*(1-E10)","v":0.54000000000000015}]
[]
["X","P(x) = f(x)",{"$f":"\"P(\"&F11&\"<=x<=\"&E11&\") = \"&ROUND(E12,4)","v":"P(1<=x<=3) = 0.4673"},null,"P(x) = f(x)","P(x) = f(x)","SUM","X low","X upper"]
[{"$f":"_xlfn.SEQUENCE(E9+1,,0)","v":0},{"$f":"_xlfn.BINOM.DIST.RANGE(E9,E10,_xlfn.ANCHORARRAY(A17))","v":0.53144100000000005},{"$f":"IF((_xlfn.ANCHORARRAY(A17)>=F11)*(_xlfn.ANCHORARRAY(A17)<=E11),_xlfn.ANCHORARRAY(B17),\"\")","v":""},null,{"$f":"\"P(x = \"&H17&\")\"","v":"P(x = 2)"},{"$f":"_xlfn.BINOM.DIST.RANGE(E9,E10,H17:H21,I17:I21)","v":9.8415000000000002E-2},{"$f":"B19","v":9.8415000000000002E-2},2,2]
[1,0.354294,0.354294,null,{"$f":"\"P(x <= \"&H17&\")\"","v":"P(x <= 2)"},0.98414999999999997,{"$f":"SUM(B17:B19)","v":0.98415000000000008},0,2]
[2,9.8415000000000002E-2,9.8415000000000002E-2,null,{"$f":"\"P(x < \"&H17&\")\"","v":"P(x < 2)"},0.88573499999999994,{"$f":"SUM(B17:B18)","v":0.88573500000000005},0,1]
[3,1.4580000000000011E-2,1.4580000000000011E-2,null,{"$f":"\"P(x >= \"&H17&\")\"","v":"P(x >= 2)"},0.11426500000000006,{"$f":"SUM(B19:B23)","v":0.11426500000000002},2,6]
[4,1.2150000000000012E-3,"",null,{"$f":"\"P(x > \"&H17&\")\"","v":"P(x > 2)"},1.5850000000000013E-2,{"$f":"SUM(B20:B23)","v":1.5850000000000013E-2},3,6]
[5,5.3999999999999998E-5,""]
[6,1.0000000000000004E-6,""]
["Total",{"$f":"SUM(B17:B23)","v":1}]

{"sheet":"U(1)","index":11,"n_rows":30,"n_cols":4,"rows_kept":30,"cut":false,"hidden":false,"merged":[]}
[null,null,"Test Score Category","Frequency"]
[0,10,{"$f":"A2&\" up to \"&B2","v":"0 up to 10"},1]
[{"$f":"B2","v":10},{"$f":"B2+10","v":20},"10 up to 20",2]
[20,30,"20 up to 30",3]
[30,40,"30 up to 40",10]
[40,50,"40 up to 50",12]
[50,60,"50 up to 60",15]
[60,70,"60 up to 70",18]
[70,80,"70 up to 80",22]
[80,90,"80 up to 90",15]
[90,100,"90 up to 100",2]
[null,null,null,{"$f":"SUM(D2:D11)","v":100}]
[]
[]
[]
[]
[]
[]
[null,null,"Test Score Category","Frequency"]
[0,10,{"$f":"A20&\" up to \"&B20","v":"0 up to 10"},10]
[{"$f":"B20","v":10},{"$f":"B20+10","v":20},"10 up to 20",10]
[20,30,"20 up to 30",10]
[30,40,"30 up to 40",10]
[40,50,"40 up to 50",10]
[50,60,"50 up to 60",10]
[60,70,"60 up to 70",10]
[70,80,"70 up to 80",10]
[80,90,"80 up to 90",10]
[90,100,"90 up to 100",10]
[null,null,null,{"$f":"SUM(D20:D29)","v":100}]

{"sheet":"U(2)","index":12,"n_rows":1195,"n_cols":7,"rows_kept":1195,"cut":false,"hidden":false,"merged":[]}
["Wait Times for Customer Service (minutes) "]
[5]
[5,null,null,"Wait Times","Frequency","Histogram w Conditional Formatting","Relative Frequency"]
[5,null,null,{"$f":"_xlfn.SEQUENCE(51,,0)","v":0},{"$f":"COUNTIFS(A2:A1195,_xlfn.ANCHORARRAY(D4))","v":0},{"$f":"_xlfn.ANCHORARRAY(E4)","v":0},{"$f":"_xlfn.ANCHORARRAY(E4)/E55","v":0}]
[14,null,null,1,0,0,0]
[14,null,null,2,0,0,0]
[14,null,null,3,0,0,0]
[23,null,null,4,0,0,0]
[6,null,null,5,57,57,4.7738693467336682E-2]
[6,null,null,6,56,56,4.690117252931323E-2]
[6,null,null,7,53,53,4.4388609715242881E-2]
[16,null,null,8,55,55,4.6063651591289785E-2]
[16,null,null,9,56,56,4.690117252931323E-2]
[16,null,null,10,57,57,4.7738693467336682E-2]
[17,null,null,11,56,56,4.690117252931323E-2]
[17,null,null,12,58,58,4.8576214405360134E-2]
[17,null,null,13,57,57,4.7738693467336682E-2]
[17,null,null,14,58,58,4.8576214405360134E-2]
[16,null,null,15,61,61,5.1088777219430483E-2]
[16,null,null,16,57,57,4.7738693467336682E-2]
[16,null,null,17,55,55,4.6063651591289785E-2]
[16,null,null,18,56,56,4.690117252931323E-2]
[6,null,null,19,59,59,4.9413735343383586E-2]
[6,null,null,20,57,57,4.7738693467336682E-2]
[6,null,null,21,55,55,4.6063651591289785E-2]
[6,null,null,22,60,60,5.0251256281407038E-2]
[6,null,null,23,57,57,4.7738693467336682E-2]
[6,null,null,24,57,57,4.7738693467336682E-2]
[6,null,null,25,57,57,4.7738693467336682E-2]
[6,null,null,26,0,0,0]
[6,null,null,27,0,0,0]
[6,null,null,28,0,0,0]
[25,null,null,29,0,0,0]
[25,null,null,30,0,0,0]
[25,null,null,31,0,0,0]
[25,null,null,32,0,0,0]
[25,null,null,33,0,0,0]
[25,null,null,34,0,0,0]
[23,null,null,35,0,0,0]
[23,null,null,36,0,0,0]
[23,null,null,37,0,0,0]
[23,null,null,38,0,0,0]
[23,null,null,39,0,0,0]
[23,null,null,40,0,0,0]
[23,null,null,41,0,0,0]
[23,null,null,42,0,0,0]
[23,null,null,43,0,0,0]
[14,null,null,44,0,0,0]
[14,null,null,45,0,0,0]
[14,null,null,46,0,0,0]
[14,null,null,47,0,0,0]
[14,null,null,48,0,0,0]
[14,null,null,49,0,0,0]
[8,null,null,50,0,0,0]
[8,null,null,null,{"$f":"SUM(_xlfn.ANCHORARRAY(E4))","v":1194}]
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{"sheet":"U(3)","index":13,"n_rows":27,"n_cols":19,"rows_kept":27,"cut":false,"hidden":false,"merged":[]}
[{"$f":"\"Suppose the time that you wait on the telephone for a live representative of your phone company to discuss your problem with you is\"","v":"Suppose the time that you wait on the telephone for a live representative of your phone company to discuss your problem with you is"}]
["uniformly distributed between 5 and 25 minutes."]
["What is mean wait time?"]
["What is Standard Deviation?",null,null,null,null,"Area = Probability"]
["Solve for various probabilities.",null,null,null,null,"1 = All Probability"]
[null,null,null,null,null,"1 = Area"]
["Lower = a",null,"mins",null,null,"Area = width * height"]
["Upper = b",null,"mins",null,null,"1 = width * height"]
["X1",null,"mins",null,null,"height = 1/width"]
["X2",null,"mins",null,null,"height = Uniform Probability Density Function = f(x) = 1/(b-a), for a <= x <= b, 0 elsewhere."]
["Mean wait time",null,"mins","Mean = (a+ b)/2"]
["Standard Deviation",null,"mins","SD = SQRT((b-a)^2/12)",null,"f(x) = 1/(b-a)",null,null,null,null,null,null,null,null,null,null,null,"Deductive Proof for SQRT formula:"]
[{"$f":"\"P(\"&B9&\" <= x <= \"&B10&\")\"","v":"P( <= x <= )"},null,null,"Simple geometry: width*height",null,"f(x) = height",null,null,null,null,null,null,null,null,null,null,null,"http://mathforum.org/library/drmath/view/52066.html"]
["Area = 1?",null,null,"P(x1<=x<=x2 ) = (x2-x1)*1/(b-a)"]
[null,null,null,"P(x1<=x<=x2 ) = P(x1<x<x2 )"]
[null,null,null,"because lines have no area"]
[]
[]
["Lower = a",5,"mins",null,null,"f(x) = 1/(b-a)"]
["Upper = b",25,"mins",null,null,"f(x) = height"]
["X1",5,"mins",null,null,{"$f":"1/(K24-G24)","v":0.05}]
["X2",15,"mins"]
[{"$f":"\"P(\"&B21&\" <= x <= \"&B22&\")\"","v":"P(5 <= x <= 15)"}]
[null,null,null,null,null,null,{"$f":"S27","v":5},{"$f":"G24+5","v":10},{"$f":"H24+5","v":15},20,25,null,"x = minutes waiting",null,null,null,null,"SD from data points:",{"$f":"_xlfn.STDEV.S('U(2)'!A2:A1195)","v":6.0383503390600533}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Model SD",{"$f":"SQRT((K24-G24)^2/12)","v":5.7735026918962582}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Min:",5]

{"sheet":"U(3an)","index":14,"n_rows":24,"n_cols":13,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
[{"$f":"\"Suppose the time that you wait on the telephone for a live representative of your phone company to discuss your problem with you is\"","v":"Suppose the time that you wait on the telephone for a live representative of your phone company to discuss your problem with you is"}]
["uniformly distributed between 5 and 25 minutes."]
["What is mean wait time?"]
["What is Standard Deviation?",null,null,null,null,"Area = Probability"]
["Solve for various probabilities.",null,null,null,null,"1 = All Probability"]
[null,null,null,null,null,"1 = Area"]
["Lower = a",5,"mins",null,null,"Area = width * height"]
["Upper = b",25,"mins",null,null,"1 = width * height"]
["X1",15,"mins",null,null,"height = 1/width"]
["X2",20,"mins",null,null,"height = Uniform Probability Density Function = f(x) = 1/(b-a), for a <= x <= b, 0 elsewhere."]
["Mean wait time",{"$f":"AVERAGE(B7:B8)","v":15},"mins","Mean = (a+ b)/2"]
["Standard Deviation",{"$f":"SQRT((B8-B7)^2/12)","v":5.7735026918962582},"mins","SD = SQRT((b-a)^2/12)",null,"f(x) = 1/(b-a)"]
[{"$f":"\"P(\"&B9&\" <= x <= \"&B10&\")\"","v":"P(15 <= x <= 20)"},{"$f":"F14*(J17-I17)","v":0.25},null,"Simple geometry: width*height",null,"f(x) = height"]
["Area = 1?",{"$f":"F14*(K17-G17)","v":1},null,"P(x1<=x<=x2 ) = (x2-x1)*1/(b-a)",null,{"$f":"1/(K17-G17)","v":0.05}]
[null,null,null,"P(x1<=x<=x2 ) = P(x1<x<x2 )"]
[null,null,null,"because lines have no area"]
[null,null,null,null,null,null,{"$f":"B7","v":5},{"$f":"G17+5","v":10},{"$f":"H17+5","v":15},20,{"$f":"B8","v":25}]
[]
["Lower = a",5,"mins",null,null,"f(x) = 1/(b-a)"]
["Upper = b",25,"mins",null,null,"f(x) = height"]
["X1",5,"mins",null,null,{"$f":"1/(K24-G24)","v":0.05}]
["X2",15,"mins"]
[{"$f":"\"P(\"&B21&\" <= x <= \"&B22&\")\"","v":"P(5 <= x <= 15)"},{"$f":"F21*(I24-G24)","v":0.5}]
[null,null,null,null,null,null,{"$f":"$B$7","v":5},{"$f":"G24+5","v":10},{"$f":"H24+5","v":15},20,25,null,"x = minutes waiting"]

{"sheet":"U(4)","index":15,"n_rows":30,"n_cols":12,"rows_kept":30,"cut":false,"hidden":false,"merged":[]}
["Driving Distance for the top 100 golfers on the PGA tour (2003)"]
["Distribution is Uniform"]
["Lower",284.7,"yards"]
["Upper",310.60000000000002,"yards"]
["Difference = width",null,"yards"]
[]
["Probability Density function of driving distances:"]
[{"$f":"IF(AND(B3:B4=\"\"),\"\",\"F(x) = 1/(\"&B4&\"-\"&B3&\")\"&\" = 1/\"&B4-B3&CHAR(10)&\"for interval \"&B3&\" <= x <= \"&B4&\" and 0 elsewhere.\")","v":"F(x) = 1/(310.6-284.7) = 1/25.9\nfor interval 284.7 <= x <= 310.6 and 0 elsewhere."}]
["height =  f(x) = 1/(b-a)"]
[]
["What is probability of one of the golfers driving less than 290 yards?",null,null,"f(x) = height"]
["X1",{"$f":"B3","v":284.7},null,{"$f":"1/(B4-B3)","v":3.8610038610038561E-2}]
["X2",290]
["area = width * height = (X2-X1)*1/(b-a) ="]
[{"$f":"\"P(X<\"&B13&\") = (\"&B13&\" - \"&B12&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X<290) = (290 - 284.7)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"B3","v":284.7},null,{"$f":"B13","v":290},null,null,{"$f":"B4","v":310.60000000000002},null,"x"]
[]
["What is probability of one of the golfers driving more than 290 yards?",null,null,"f(x) = height"]
["X1",290,null,{"$f":"D12","v":3.8610038610038561E-2}]
["X2",{"$f":"B4","v":310.60000000000002}]
["area = width * height = (X2-X1)*1/(b-a) ="]
[{"$f":"\"P(X>\"&B20&\") = (\"&B20&\" - \"&B19&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X>310.6) = (310.6 - 290)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"$E$16","v":284.7},null,{"$f":"$G$16","v":290},null,null,{"$f":"$J$16","v":310.60000000000002},null,"x"]
[]
["What is probability of one of the golfers driving between 290 and 300?",null,null,"f(x) = height"]
["X1",290,null,{"$f":"D19","v":3.8610038610038561E-2}]
["X2",300]
["area = width * height = (X2-X1)*1/(b-a) ="]
[{"$f":"\"P(X>\"&B27&\") = (\"&B27&\" - \"&B26&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X>300) = (300 - 290)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"$E$16","v":284.7},null,{"$f":"$G$16","v":290},null,300,null,null,"x"]

{"sheet":"U(4an)","index":16,"n_rows":30,"n_cols":12,"rows_kept":30,"cut":false,"hidden":false,"merged":[]}
["Driving Distance for the top 100 golfers on the PGA tour (2003)"]
["Distribution is Uniform"]
["Lower",284.7,"yards"]
["Upper",310.60000000000002,"yards"]
["Difference = width",{"$f":"B4-B3","v":25.900000000000034},"yards"]
[]
["Probability Density function of driving distances:"]
[{"$f":"IF(AND(B3:B4=\"\"),\"\",\"F(x) = 1/(\"&B4&\"-\"&B3&\")\"&\" = 1/\"&B4-B3&CHAR(10)&\"for interval \"&B3&\" <= x <= \"&B4&\" and 0 elsewhere.\")","v":"F(x) = 1/(310.6-284.7) = 1/25.9\nfor interval 284.7 <= x <= 310.6 and 0 elsewhere."}]
["height =  f(x) = 1/(b-a)",{"$f":"1/B5","v":3.8610038610038561E-2}]
[]
["What is probability of one of the golfers driving less than 290 yards?",null,null,"f(x) = height"]
["X1",{"$f":"B3","v":284.7},null,{"$f":"1/(B4-B3)","v":3.8610038610038561E-2}]
["X2",290]
["area = width * height = (X2-X1)*1/(b-a) =",{"$f":"D12*(G16-E16)","v":0.20463320463320481}]
[{"$f":"\"P(X<\"&B13&\") = (\"&B13&\" - \"&B12&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X<290) = (290 - 284.7)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"B3","v":284.7},null,{"$f":"B13","v":290},null,null,{"$f":"B4","v":310.60000000000002},null,"x"]
[]
["What is probability of one of the golfers driving more than 290 yards?",null,null,"f(x) = height"]
["X1",290,null,{"$f":"D12","v":3.8610038610038561E-2}]
["X2",{"$f":"B4","v":310.60000000000002}]
["area = width * height = (X2-X1)*1/(b-a) =",{"$f":"D19*(J23-G23)","v":0.79536679536679522}]
[{"$f":"\"P(X>\"&B20&\") = (\"&B20&\" - \"&B19&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X>310.6) = (310.6 - 290)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"$E$16","v":284.7},null,{"$f":"$G$16","v":290},null,null,{"$f":"$J$16","v":310.60000000000002},null,"x"]
[]
["What is probability of one of the golfers driving between 290 and 300?",null,null,"f(x) = height"]
["X1",290,null,{"$f":"D19","v":3.8610038610038561E-2}]
["X2",300]
["area = width * height = (X2-X1)*1/(b-a) =",{"$f":"D26*(I30-G30)","v":0.38610038610038561}]
[{"$f":"\"P(X>\"&B27&\") = (\"&B27&\" - \"&B26&\")*1/(\"&$B$4&\" - \"&$B$3&\")\"","v":"P(X>300) = (300 - 290)*1/(310.6 - 284.7)"}]
[null,null,null,null,{"$f":"$E$16","v":284.7},null,{"$f":"$G$16","v":290},null,300,null,null,"x"]

{"sheet":"PopTestData","index":17,"n_rows":503,"n_cols":14,"rows_kept":503,"cut":false,"hidden":false,"merged":[]}
["Test scores from population data",null,"Lower","Upper","Category","Frequency","Distribution","Relative Frequency\nFrequency"]
[0,null,0,{"$f":"C2+10","v":10},{"$f":"C2&\" up to \"&D2","v":"0 up to 10"},{"$f":"COUNTIFS($A$2:$A$755,\">=\"&C2,$A$2:$A$755,\"<\"&D2)","v":2},{"$f":"F2","v":2},{"$f":"F2/$F$13","v":3.9840637450199202E-3},null,"Mean",{"$f":"AVERAGE(A2:A503)","v":74.362549800796813},null,"Chart Labels:"]
[5,null,{"$f":"D2","v":10},{"$f":"C3+10","v":20},{"$f":"C3&\" up to \"&D3","v":"10 up to 20"},1,{"$f":"F3","v":1},1.9920318725099601E-3,null,"Median",{"$f":"MEDIAN(A2:A503)","v":75},null,"Title","Professor looks at all test score for a particular test (this is population data), and observes:"]
[79,null,{"$f":"D3","v":20},30,"20 up to 30",1,1,1.9920318725099601E-3,null,"Mode",{"$f":"_xlfn.MODE.SNGL(A2:A503)","v":75},null,"X axis",{"$f":"J2&\" = \"&ROUND(K2,0)","v":"Mean = 74"}]
[19,null,{"$f":"D4","v":30},40,"30 up to 40",2,2,3.9840637450199202E-3,null,"SD",{"$f":"_xlfn.STDEV.P(A2:A503)","v":10.135144166876781},null,"Text Box:",{"$f":"J3&\" = \"&ROUND(K3,0)","v":"Median = 75"}]
[29,null,40,50,"40 up to 50",4,4,7.9681274900398405E-3,null,"skew",{"$f":"SKEW(A2:A503)","v":-2.0068581218305899},null,null,{"$f":"J4&\" = \"&ROUND(K4,0)","v":"Mode = 75"}]
[35,null,50,60,"50 up to 60",13,13,2.5896414342629483E-2,null,null,null,null,null,{"$f":"J5&\" = \"&ROUND(K5,0)","v":"SD = 10"}]
[39,null,60,70,"60 up to 70",98,98,0.19521912350597609,null,null,null,null,null,{"$f":"N4&CHAR(10)&N5&CHAR(10)&N6&CHAR(10)&N7","v":"Mean = 74\nMedian = 75\nMode = 75\nSD = 10"}]
[43,null,70,80,"70 up to 80",260,260,0.51792828685258963,null,null,null,null,null,"X = Score"]
[47,null,80,90,"80 up to 90",99,99,0.19721115537848605]
[48,null,90,100,"90 up to 100",18,18,3.5856573705179286E-2]
[49,null,100,110,"100 up to 110",4,4,7.9681274900398405E-3]
[53,null,null,null,"Total",{"$f":"SUM(F2:F12)","v":502},null,{"$f":"SUM(H2:H12)","v":1}]
[54]
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{"sheet":"NormalAndStandardNormal","index":18,"n_rows":349,"n_cols":10,"rows_kept":349,"cut":false,"hidden":false,"merged":[]}
[{"$f":"\"Ketchup Bottle lists that it contains \"&B4&\" oz.\"","v":"Ketchup Bottle lists that it contains 20 oz."},null,null,null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2","v":"Ketchup Bottle lists that it contains 20 oz.\nPast Historical Data shows that the machine fills with a standard deviation of 0.2 oz."}]
[{"$f":"\"Past Historical Data shows that the machine fills with a standard deviation of \"&B5&\" oz.\"","v":"Past Historical Data shows that the machine fills with a standard deviation of 0.2 oz."}]
[]
["Pop. Mean = µ",20,"oz."]
["Pop. SD = s",0.2,"oz."]
["x = oz. Ketchup in Bottle",{"$f":"B4-B5*2","v":19.600000000000001},"oz."]
[{"$f":"\"P(x <= \"&B6&\" \"&C6&\") =\"","v":"P(x <= 19.6 oz.) ="},{"$f":"_xlfn.NORM.DIST(B6,B4,B5,1)","v":2.275013194817959E-2}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["x","P(x) = Area = Probability","z",{"$f":"A7&ROUND(B7,4)","v":"P(x <= 19.6 oz.) =0.0228"}]
[18.399999999999999,{"$f":"_xlfn.NORM.DIST(A29,$B$4,$B$5,0)","v":2.5261355417683027E-14},{"$f":"(A29-$B$4)/$B$5","v":-8.0000000000000071},{"$f":"IF(A29<=$B$6,B29,\"\")","v":2.5261355417683027E-14}]
[{"$f":"A29+0.01","v":18.41},3.7638436445155201E-14,-7.9499999999999993,3.7638436445155201E-14]
[{"$f":"A30+0.01","v":18.420000000000002},5.5939781071762861E-14,-7.8999999999999915,5.5939781071762861E-14]
[18.430000000000003,8.2932396353126116E-14,-7.8499999999999837,8.2932396353126116E-14]
[18.440000000000005,1.2264276428484473E-13,-7.7999999999999758,1.2264276428484473E-13]
[18.450000000000006,1.8091472255567085E-13,-7.749999999999968,1.8091472255567085E-13]
[18.460000000000008,2.6620741861272948E-13,-7.6999999999999602,2.6620741861272948E-13]
[18.47000000000001,3.9073351258864414E-13,-7.6499999999999524,3.9073351258864414E-13]
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[18.490000000000013,8.3549617851958539E-13,-7.5499999999999368,8.3549617851958539E-13]
[18.500000000000014,1.2171602665151535E-12,-7.4999999999999289,1.2171602665151535E-12]
[18.510000000000016,1.7687454238059833E-12,-7.4499999999999211,1.7687454238059833E-12]
[18.520000000000017,2.5638768183999804E-12,-7.3999999999999133,2.5638768183999804E-12]
[18.530000000000019,3.7071763498547485E-12,-7.3499999999999055,3.7071763498547485E-12]
[18.54000000000002,5.3469189357748084E-12,-7.2999999999998977,5.3469189357748084E-12]
[18.550000000000022,7.6926897528125254E-12,-7.2499999999998899,7.6926897528125254E-12]
[18.560000000000024,1.1039949815695109E-11,-7.199999999999882,1.1039949815695109E-11]
[18.570000000000025,{"$f":"_xlfn.NORM.DIST(A46,$B$4,$B$5,0)","v":1.5804117307359524E-11},{"$f":"(A46-$B$4)/$B$5","v":-7.1499999999998742},{"$f":"IF(A46<=$B$6,B46,\"\")","v":1.5804117307359524E-11}]
[18.580000000000027,2.2567718386048915E-11,-7.0999999999998664,2.2567718386048915E-11]
[18.590000000000028,3.2145436453800314E-11,-7.0499999999998586,3.2145436453800314E-11]
[18.60000000000003,4.5673602041870668E-11,-6.9999999999998508,4.5673602041870668E-11]
[18.610000000000031,6.4732959691666483E-11,-6.949999999999843,6.4732959691666483E-11]
[18.620000000000033,9.1516610850882948E-11,-6.8999999999998352,9.1516610850882948E-11]
[18.630000000000035,1.2905910725008586E-10,-6.8499999999998273,1.2905910725008586E-10]
[18.640000000000036,1.8154807508981255E-10,-6.7999999999998195,1.8154807508981255E-10]
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[18.660000000000039,3.5656640620027247E-10,-6.6999999999998039,3.5656640620027247E-10]
[18.670000000000041,4.9783589527552582E-10,-6.6499999999997961,4.9783589527552582E-10]
[18.680000000000042,6.9333999708362659E-10,-6.5999999999997883,6.9333999708362659E-10]
[18.690000000000044,9.6320907396933869E-10,-6.5499999999997804,9.6320907396933869E-10]
[18.700000000000045,1.3347783073833987E-9,-6.4999999999997726,1.3347783073833987E-9]
[18.710000000000047,1.8450663080650825E-9,-6.4499999999997648,1.8450663080650825E-9]
[18.720000000000049,2.5440701408264871E-9,-6.399999999999757,2.5440701408264871E-9]
[18.73000000000005,3.4991329742954706E-9,-6.3499999999997492,3.4991329742954706E-9]
[18.740000000000052,4.800716685163979E-9,-6.2999999999997414,4.800716685163979E-9]
[18.750000000000053,6.570009090790367E-9,-6.2499999999997335,6.570009090790367E-9]
[18.760000000000055,8.96891953983566E-9,-6.1999999999997257,8.96891953983566E-9]
[18.770000000000056,1.2213174134056439E-8,-6.1499999999997179,1.2213174134056439E-8]
[18.780000000000058,1.6589421217765817E-8,-6.0999999999997101,1.6589421217765817E-8]
[18.79000000000006,2.2477509155106711E-8,-6.0499999999997023,2.2477509155106711E-8]
[18.800000000000061,3.0379414249172115E-8,-5.9999999999996945,3.0379414249172115E-8]
[18.810000000000063,4.0956692017472253E-8,-5.9499999999996867,4.0956692017472253E-8]
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[18.880000000000074,3.0913102500892924E-7,-5.5999999999996319,3.0913102500892924E-7]
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[18.960000000000086,2.6805176723548112E-6,-5.1999999999995694,2.6805176723548112E-6]
[18.970000000000088,3.4721011769355146E-6,-5.1499999999995616,3.4721011769355146E-6]
[18.980000000000089,4.4862175812018764E-6,-5.0999999999995538,4.4862175812018764E-6]
[18.990000000000091,5.7820595179121652E-6,-5.049999999999546,5.7820595179121652E-6]
[19.000000000000092,7.4335975736886554E-6,-4.9999999999995381,7.4335975736886554E-6]
[19.010000000000094,9.5330045156362204E-6,-4.9499999999995303,9.5330045156362204E-6]
[19.020000000000095,1.2194803729495334E-5,-4.8999999999995225,1.2194803729495334E-5]
[19.030000000000097,1.5560877895781319E-5,-4.8499999999995147,1.5560877895781319E-5]
[19.040000000000099,1.9806495455207243E-5,-4.7999999999995069,1.9806495455207243E-5]
[19.0500000000001,2.5147536443022085E-5,{"$f":"(A94-$B$4)/$B$5","v":-4.7499999999994991},{"$f":"IF(A94<=$B$6,B94,\"\")","v":2.5147536443022085E-5}]
[{"$f":"A94+0.01","v":19.060000000000102},3.1849125894411655E-5,-4.6999999999994913,3.1849125894411655E-5]
[19.070000000000103,4.0235912282558168E-5,-4.6499999999994834,4.0235912282558168E-5]
[19.080000000000105,5.0704260327556015E-5,-4.5999999999994756,5.0704260327556015E-5]
[19.090000000000106,6.373666190932153E-5,-4.5499999999994678,6.373666190932153E-5]
[19.100000000000108,7.9918705534721577E-5,-4.49999999999946,7.9918705534721577E-5]
[19.11000000000011,9.9958983534857745E-5,-4.4499999999994522,9.9958983534857745E-5]
[19.120000000000111,1.2471235645057272E-4,-4.3999999999994444,1.2471235645057272E-4]
[19.130000000000113,1.5520703528963152E-4,-4.3499999999994365,1.5520703528963152E-4]
[19.140000000000114,1.9267598371090866E-4,-4.2999999999994287,1.9267598371090866E-4]
[19.150000000000116,2.3859318270661215E-4,-4.2499999999994209,2.3859318270661215E-4]
[19.160000000000117,2.9471533878342593E-4,-4.1999999999994131,2.9471533878342593E-4]
[19.170000000000119,3.6312965151215825E-4,-4.1499999999994053,3.6312965151215825E-4]
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[19.190000000000122,5.4717021720035561E-4,-4.0499999999993896,5.4717021720035561E-4]
[19.200000000000124,6.691511288260813E-4,-3.9999999999993818,6.691511288260813E-4]
[19.210000000000125,{"$f":"_xlfn.NORM.DIST(A110,$B$4,$B$5,0)","v":8.1628204383322827E-4},-3.949999999999374,8.1628204383322827E-4]
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{"sheet":"Normal <=","index":19,"n_rows":108,"n_cols":8,"rows_kept":108,"cut":false,"hidden":false,"merged":[]}
["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ = 74\nSD = s = 10"}]
["Mean = µ",74]
["SD = s",10]
["x",64]
["Operator","<="]
[{"$f":"\"P(\"&A4&B5&B4&\")\"","v":"P(x<=64)"}]
["z"]
[{"$f":"\"P(\"&A7&B5&B7&\")\"","v":"P(z<=)"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["x","P(x)","z",{"$f":"A6&\" = \"&ROUND(_xlfn.NORM.DIST(B4,B2,B3,1),4)","v":"P(x<=64) = 0.1587"}]
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["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ = 74\nSD = s = 10"}]
["Mean = µ",74]
["SD = s",10]
["x lower",75]
["x upper",90]
["Operator","between"]
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["z lower"]
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["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ = 74\nSD = s = 10"}]
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["x lower",75]
["x upper",90]
["Operator","between"]
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["z upper",{"$f":"(B5-$B$2)/$B$3","v":1.6}," =(B5-$B$2)/$B$3"]
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["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ = 74\nSD = s = 10"}]
["Mean = µ",74,null,null,null,null,null,{"$f":"\"What is the x or z value that corresponds to the top \"&TEXT(B4,\"0%\")&\"?\"","v":"What is the x or z value that corresponds to the top 10%?"}]
["SD = s",10]
["Probability",0.1]
["X value"]
["z value"]
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["x","z","P(x)",{"$f":"\"P(x upper) = \"&B4","v":"P(x upper) = 0.1"}]
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[35,-3.9,{"$f":"_xlfn.NORM.DIST(A29,$B$2,$B$3,0)","v":1.9865547139277272E-5},"",null,null,null,null,"1) Highlight P(x) column of chart heights and create area chart"]
[36,-3.8,{"$f":"_xlfn.NORM.DIST(A30,$B$2,$B$3,0)","v":2.9194692579146026E-5},"",null,null,null,null,"2) Design Ribbon Tab, Select Data button, Add second column of P(x) with chart heights"]
[37,-3.7,4.2478027055075142E-5,"",null,null,null,null,"3) Select second column of P(x) in chart, Ctrl + 1, Add to Secondary Axis"]
[38,-3.6,6.1190193011377187E-5,"",null,null,null,null,"4) Design Ribbon Tab, Edit both Series Horizontal Axis to add x and z."]
[39,-3.5,8.726826950457601E-5,"",null,null,null,null,"5) Click Plus Button, Axis, check Secondary Horizontal Axis"]
[40,-3.4,1.2322191684730198E-4,"",null,null,null,null,"6) Select Top Axis, ctrl 1 to open Task Pane, then go to Series, then in Labels, Specify interval as 10"]
[41,-3.3,1.722568939053681E-4,"",null,null,null,null,"7) Still in Labels, select Label position Low"]
[42,-3.2,2.3840882014648405E-4,"",null,null,null,null,"8) Above Labels in Tick Marks, Major and Minor: None"]
[43,-3.1,3.2668190561999186E-4,"",null,null,null,null,"9) Adjust size of chart area to allow x-z text box"]
[44,-3,4.4318484119380076E-4,"",null,null,null,null,"10) Insert Ribbon Tab, Text Box"]
[45,-2.9,5.9525324197758534E-4,""]
[46,-2.8,7.9154515829799694E-4,""]
[47,-2.7,1.0420934814422591E-3,""]
[48,-2.6,1.3582969233685612E-3,""]
[49,-2.5,1.752830049356854E-3,""]
[50,-2.4,2.2394530294842902E-3,""]
[51,-2.2999999999999998,2.8327037741601186E-3,""]
[52,-2.2000000000000002,3.5474592846231421E-3,""]
[53,-2.1,4.3983595980427196E-3,""]
[54,-2,5.3990966513188061E-3,""]
[55,-1.9,6.5615814774676604E-3,""]
[56,-1.8,7.8950158300894139E-3,""]
[57,-1.7,9.4049077376886937E-3,""]
[58,-1.6,1.1092083467945555E-2,""]
[59,-1.5,1.2951759566589173E-2,""]
[60,-1.4,1.4972746563574486E-2,""]
[61,-1.3,1.7136859204780735E-2,""]
[62,-1.2,1.9418605498321296E-2,""]
[63,-1.1000000000000001,2.1785217703255054E-2,""]
[64,-1,2.4197072451914336E-2,""]
[65,-0.9,2.6608524989875482E-2,""]
[66,{"$f":"(A60-$B$2)/$B$3","v":-0.8},2.8969155276148274E-2,{"$f":"IF(_xlfn.NORM.S.INV(1-$B$4)>=B60,\"\",C60)","v":""}]
[67,-0.7,3.1225393336676129E-2,""]
[68,-0.6,3.3322460289179963E-2,""]
[69,-0.5,3.5206532676429952E-2,""]
[70,-0.4,3.6827014030332332E-2,""]
[71,-0.3,3.8138781546052408E-2,""]
[72,-0.2,3.9104269397545591E-2,""]
[73,-0.1,3.9695254747701178E-2,""]
[74,0,3.9894228040143274E-2,""]
[75,0.1,3.9695254747701178E-2,""]
[76,0.2,3.9104269397545591E-2,""]
[77,0.3,3.8138781546052408E-2,""]
[78,0.4,3.6827014030332332E-2,""]
[79,0.5,3.5206532676429952E-2,""]
[80,0.6,3.3322460289179963E-2,""]
[81,0.7,3.1225393336676129E-2,""]
[82,0.8,2.8969155276148274E-2,""]
[83,0.9,2.6608524989875482E-2,""]
[84,1,2.4197072451914336E-2,""]
[85,1.1000000000000001,2.1785217703255054E-2,""]
[86,1.2,1.9418605498321296E-2,""]
[87,1.3,1.7136859204780735E-2,1.7136859204780735E-2]
[88,1.4,1.4972746563574486E-2,1.4972746563574486E-2]
[89,1.5,1.2951759566589173E-2,1.2951759566589173E-2]
[90,1.6,1.1092083467945555E-2,1.1092083467945555E-2]
[91,1.7,9.4049077376886937E-3,9.4049077376886937E-3]
[92,1.8,7.8950158300894139E-3,7.8950158300894139E-3]
[93,1.9,6.5615814774676604E-3,6.5615814774676604E-3]
[94,2,5.3990966513188061E-3,5.3990966513188061E-3]
[95,2.1,4.3983595980427196E-3,4.3983595980427196E-3]
[96,2.2000000000000002,3.5474592846231421E-3,3.5474592846231421E-3]
[97,2.2999999999999998,2.8327037741601186E-3,2.8327037741601186E-3]
[98,{"$f":"(A92-$B$2)/$B$3","v":2.4},2.2394530294842902E-3,{"$f":"IF(_xlfn.NORM.S.INV(1-$B$4)>=B92,\"\",C92)","v":2.2394530294842902E-3}]
[99,2.5,1.752830049356854E-3,1.752830049356854E-3]
[100,2.6,{"$f":"_xlfn.NORM.DIST(A94,$B$2,$B$3,0)","v":1.3582969233685612E-3},1.3582969233685612E-3]
[101,2.7,1.0420934814422591E-3,1.0420934814422591E-3]
[102,2.8,7.9154515829799694E-4,7.9154515829799694E-4]
[103,2.9,5.9525324197758534E-4,5.9525324197758534E-4]
[104,3,4.4318484119380076E-4,4.4318484119380076E-4]
[105,3.1,3.2668190561999186E-4,3.2668190561999186E-4]
[106,3.2,2.3840882014648405E-4,2.3840882014648405E-4]
[107,3.3,1.722568939053681E-4,1.722568939053681E-4]
[108,3.4,1.2322191684730198E-4,1.2322191684730198E-4]
[109,3.5,8.726826950457601E-5,8.726826950457601E-5]
[110,3.6,6.1190193011377187E-5,6.1190193011377187E-5]
[111,3.7,4.2478027055075142E-5,4.2478027055075142E-5]
[112,3.8,2.9194692579146026E-5,2.9194692579146026E-5]
[113,3.9,1.9865547139277272E-5,1.9865547139277272E-5]
[114,4,1.3383022576488536E-5,1.3383022576488536E-5]

{"sheet":"Find x  ","index":26,"n_rows":108,"n_cols":9,"rows_kept":108,"cut":false,"hidden":false,"merged":[]}
["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ = 74\nSD = s = 10"}]
["Mean = µ",74,null,null,null,null,null,{"$f":"\"What is the x or z value that corresponds to the top \"&TEXT(B4,\"0%\")&\"?\"","v":"What is the x or z value that corresponds to the top 10%?"}]
["SD = s",10]
["Probability",0.1]
["X value",{"$f":"_xlfn.NORM.INV(1-B4,B2,B3)","v":86.815515655446006},{"$f":"\" \"&_xlfn.FORMULATEXT(B5)","v":" =NORM.INV(1-B4,B2,B3)"}]
["z value",{"$f":"_xlfn.NORM.S.INV(1-B4)","v":1.2815515655446006}," =NORM.S.INV(1-B4)"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["x","z","P(x)",{"$f":"\"P(x upper) = \"&B4","v":"P(x upper) = 0.1"}]
[34,{"$f":"(A28-$B$2)/$B$3","v":-4},{"$f":"_xlfn.NORM.DIST(A28,$B$2,$B$3,0)","v":1.3383022576488536E-5},{"$f":"IF(_xlfn.NORM.S.INV(1-$B$4)>=B28,\"\",C28)","v":""},null,null,null,null,"Chart Instructions:"]
[35,-3.9,{"$f":"_xlfn.NORM.DIST(A29,$B$2,$B$3,0)","v":1.9865547139277272E-5},"",null,null,null,null,"1) Highlight P(x) column of chart heights and create area chart"]
[36,-3.8,{"$f":"_xlfn.NORM.DIST(A30,$B$2,$B$3,0)","v":2.9194692579146026E-5},"",null,null,null,null,"2) Design Ribbon Tab, Select Data button, Add second column of P(x) with chart heights"]
[37,-3.7,4.2478027055075142E-5,"",null,null,null,null,"3) Select second column of P(x) in chart, Ctrl + 1, Add to Secondary Axis"]
[38,-3.6,6.1190193011377187E-5,"",null,null,null,null,"4) Design Ribbon Tab, Edit both Series Horizontal Axis to add x and z."]
[39,-3.5,8.726826950457601E-5,"",null,null,null,null,"5) Click Plus Button, Axis, check Secondary Horizontal Axis"]
[40,-3.4,1.2322191684730198E-4,"",null,null,null,null,"6) Select Top Axis, ctrl 1 to open Task Pane, then go to Series, then in Labels, Specify interval as 10"]
[41,-3.3,1.722568939053681E-4,"",null,null,null,null,"7) Still in Labels, select Label position Low"]
[42,-3.2,2.3840882014648405E-4,"",null,null,null,null,"8) Above Labels in Tick Marks, Major and Minor: None"]
[43,-3.1,3.2668190561999186E-4,"",null,null,null,null,"9) Adjust size of chart area to allow x-z text box"]
[44,-3,4.4318484119380076E-4,"",null,null,null,null,"10) Insert Ribbon Tab, Text Box"]
[45,-2.9,5.9525324197758534E-4,""]
[46,-2.8,7.9154515829799694E-4,""]
[47,-2.7,1.0420934814422591E-3,""]
[48,-2.6,1.3582969233685612E-3,""]
[49,-2.5,1.752830049356854E-3,""]
[50,-2.4,2.2394530294842902E-3,""]
[51,-2.2999999999999998,2.8327037741601186E-3,""]
[52,-2.2000000000000002,3.5474592846231421E-3,""]
[53,-2.1,4.3983595980427196E-3,""]
[54,-2,5.3990966513188061E-3,""]
[55,-1.9,6.5615814774676604E-3,""]
[56,-1.8,7.8950158300894139E-3,""]
[57,-1.7,9.4049077376886937E-3,""]
[58,-1.6,1.1092083467945555E-2,""]
[59,-1.5,1.2951759566589173E-2,""]
[60,-1.4,1.4972746563574486E-2,""]
[61,-1.3,1.7136859204780735E-2,""]
[62,-1.2,1.9418605498321296E-2,""]
[63,-1.1000000000000001,2.1785217703255054E-2,""]
[64,-1,2.4197072451914336E-2,""]
[65,-0.9,2.6608524989875482E-2,""]
[66,-0.8,2.8969155276148274E-2,""]
[67,-0.7,3.1225393336676129E-2,""]
[68,-0.6,3.3322460289179963E-2,""]
[69,-0.5,3.5206532676429952E-2,""]
[70,-0.4,3.6827014030332332E-2,""]
[71,-0.3,3.8138781546052408E-2,""]
[72,-0.2,3.9104269397545591E-2,""]
[73,-0.1,3.9695254747701178E-2,""]
[74,0,3.9894228040143274E-2,""]
[75,0.1,3.9695254747701178E-2,""]
[76,0.2,3.9104269397545591E-2,""]
[77,0.3,3.8138781546052408E-2,""]
[78,0.4,3.6827014030332332E-2,""]
[79,0.5,3.5206532676429952E-2,""]
[80,0.6,3.3322460289179963E-2,""]
[81,0.7,3.1225393336676129E-2,""]
[82,0.8,2.8969155276148274E-2,""]
[83,0.9,2.6608524989875482E-2,""]
[84,1,2.4197072451914336E-2,""]
[85,1.1000000000000001,2.1785217703255054E-2,""]
[86,1.2,1.9418605498321296E-2,""]
[87,1.3,1.7136859204780735E-2,1.7136859204780735E-2]
[88,1.4,1.4972746563574486E-2,1.4972746563574486E-2]
[89,1.5,1.2951759566589173E-2,1.2951759566589173E-2]
[90,1.6,1.1092083467945555E-2,1.1092083467945555E-2]
[91,1.7,9.4049077376886937E-3,9.4049077376886937E-3]
[92,1.8,7.8950158300894139E-3,7.8950158300894139E-3]
[93,1.9,6.5615814774676604E-3,6.5615814774676604E-3]
[94,2,5.3990966513188061E-3,5.3990966513188061E-3]
[95,2.1,4.3983595980427196E-3,4.3983595980427196E-3]
[96,2.2000000000000002,3.5474592846231421E-3,3.5474592846231421E-3]
[97,2.2999999999999998,2.8327037741601186E-3,2.8327037741601186E-3]
[98,{"$f":"(A92-$B$2)/$B$3","v":2.4},2.2394530294842902E-3,{"$f":"IF(_xlfn.NORM.S.INV(1-$B$4)>=B92,\"\",C92)","v":2.2394530294842902E-3}]
[99,2.5,1.752830049356854E-3,1.752830049356854E-3]
[100,2.6,{"$f":"_xlfn.NORM.DIST(A94,$B$2,$B$3,0)","v":1.3582969233685612E-3},1.3582969233685612E-3]
[101,2.7,1.0420934814422591E-3,1.0420934814422591E-3]
[102,2.8,7.9154515829799694E-4,7.9154515829799694E-4]
[103,2.9,5.9525324197758534E-4,5.9525324197758534E-4]
[104,3,4.4318484119380076E-4,4.4318484119380076E-4]
[105,3.1,3.2668190561999186E-4,3.2668190561999186E-4]
[106,3.2,2.3840882014648405E-4,2.3840882014648405E-4]
[107,3.3,1.722568939053681E-4,1.722568939053681E-4]
[108,3.4,1.2322191684730198E-4,1.2322191684730198E-4]
[109,3.5,8.726826950457601E-5,8.726826950457601E-5]
[110,3.6,6.1190193011377187E-5,6.1190193011377187E-5]
[111,3.7,4.2478027055075142E-5,4.2478027055075142E-5]
[112,3.8,2.9194692579146026E-5,2.9194692579146026E-5]
[113,3.9,1.9865547139277272E-5,1.9865547139277272E-5]
[114,4,1.3383022576488536E-5,1.3383022576488536E-5]

{"sheet":"Create Area Chart","index":27,"n_rows":15,"n_cols":17,"rows_kept":15,"cut":false,"hidden":false,"merged":[]}
["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ =  = 74\nSD = s =  = 10"}]
["Mean = µ = ",74]
["SD = s = ",10]
["x = Test Score",69]
["Operator","<="]
[{"$f":"\"P(x\"&B5&B4&\")=\"","v":"P(x<=69)="},{"$f":"_xlfn.NORM.DIST(B4,B2,B3,1)","v":0.30853753872598688}]
["z",{"$f":"(B4-B2)/B3","v":-0.5}]
[{"$f":"\"P(z\"&B5&B4&\") = \"","v":"P(z<=69) = "},{"$f":"_xlfn.NORM.S.DIST(B7,1)","v":0.30853753872598688}]
[]
["# SD",null,4]
["Lower x for chart table"]
["Upper x for chart table"]
["Chart Title:",{"$f":"\"Test Scores, \"&A2&B2&\", \"&A3&B3","v":"Test Scores, Mean = µ = 74, SD = s = 10"}]
[]
["x","P(x)","z",{"$f":"\"P(x\"&B5&B4&\")=\"&ROUND(B6,4)","v":"P(x<=69)=0.3085"}]

{"sheet":"Create Area Chart (an)","index":28,"n_rows":96,"n_cols":17,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ =  = 74\nSD = s =  = 10"}]
["Mean = µ = ",74]
["SD = s = ",10]
["x = Test Score",69]
["Operator","<="]
[{"$f":"\"P(x\"&B5&B4&\")=\"","v":"P(x<=69)="},{"$f":"_xlfn.NORM.DIST(B4,B2,B3,1)","v":0.30853753872598688}]
["z",{"$f":"(B4-B2)/B3","v":-0.5}]
[{"$f":"\"P(z\"&B5&B4&\") = \"","v":"P(z<=69) = "},{"$f":"_xlfn.NORM.S.DIST(B7,1)","v":0.30853753872598688}]
[]
["# SD",null,4]
["Lower x for chart table",null,{"$f":"B2-B3*C10","v":34}]
["Upper x for chart table",null,{"$f":"B2+B3*C10","v":114}]
["Chart Title:",{"$f":"\"Test Scores, \"&A2&B2&\", \"&A3&B3","v":"Test Scores, Mean = µ = 74, SD = s = 10"}]
[]
["x","P(x)","z",{"$f":"\"P(x\"&B5&B4&\")=\"&ROUND(B6,4)","v":"P(x<=69)=0.3085"}]
[{"$f":"_xlfn.SEQUENCE(C12-C11+1,,C11)","v":34},{"$f":"_xlfn.NORM.DIST(_xlfn.ANCHORARRAY(A16),B2,B3,0)","v":1.3383022576488536E-5},{"$f":"(_xlfn.ANCHORARRAY(A16)-B2)/B3","v":-4},{"$f":"IF(_xlfn.ANCHORARRAY(A16)<=B4,_xlfn.ANCHORARRAY(B16),\"\")","v":1.3383022576488536E-5}]
[35,1.9865547139277272E-5,-3.9,1.9865547139277272E-5]
[36,2.9194692579146026E-5,-3.8,2.9194692579146026E-5]
[37,4.2478027055075142E-5,-3.7,4.2478027055075142E-5]
[38,6.1190193011377187E-5,-3.6,6.1190193011377187E-5]
[39,8.726826950457601E-5,-3.5,8.726826950457601E-5]
[40,1.2322191684730198E-4,-3.4,1.2322191684730198E-4]
[41,1.722568939053681E-4,-3.3,1.722568939053681E-4]
[42,2.3840882014648405E-4,-3.2,2.3840882014648405E-4]
[43,3.2668190561999186E-4,-3.1,3.2668190561999186E-4]
[44,4.4318484119380076E-4,-3,4.4318484119380076E-4]
[45,5.9525324197758534E-4,-2.9,5.9525324197758534E-4]
[46,7.9154515829799694E-4,-2.8,7.9154515829799694E-4]
[47,1.0420934814422591E-3,-2.7,1.0420934814422591E-3]
[48,1.3582969233685612E-3,-2.6,1.3582969233685612E-3]
[49,1.752830049356854E-3,-2.5,1.752830049356854E-3]
[50,2.2394530294842902E-3,-2.4,2.2394530294842902E-3]
[51,2.8327037741601186E-3,-2.2999999999999998,2.8327037741601186E-3]
[52,3.5474592846231421E-3,-2.2000000000000002,3.5474592846231421E-3]
[53,4.3983595980427196E-3,-2.1,4.3983595980427196E-3]
[54,5.3990966513188061E-3,-2,5.3990966513188061E-3]
[55,6.5615814774676604E-3,-1.9,6.5615814774676604E-3]
[56,7.8950158300894139E-3,-1.8,7.8950158300894139E-3]
[57,9.4049077376886937E-3,-1.7,9.4049077376886937E-3]
[58,1.1092083467945555E-2,-1.6,1.1092083467945555E-2]
[59,1.2951759566589173E-2,-1.5,1.2951759566589173E-2]
[60,1.4972746563574486E-2,-1.4,1.4972746563574486E-2]
[61,1.7136859204780735E-2,-1.3,1.7136859204780735E-2]
[62,1.9418605498321296E-2,-1.2,1.9418605498321296E-2]
[63,2.1785217703255054E-2,-1.1000000000000001,2.1785217703255054E-2]
[64,2.4197072451914336E-2,-1,2.4197072451914336E-2]
[65,2.6608524989875482E-2,-0.9,2.6608524989875482E-2]
[66,2.8969155276148274E-2,-0.8,2.8969155276148274E-2]
[67,3.1225393336676129E-2,-0.7,3.1225393336676129E-2]
[68,3.3322460289179963E-2,-0.6,3.3322460289179963E-2]
[69,3.5206532676429952E-2,-0.5,3.5206532676429952E-2]
[70,3.6827014030332332E-2,-0.4,""]
[71,3.8138781546052408E-2,-0.3,""]
[72,3.9104269397545591E-2,-0.2,""]
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{"sheet":"Above Chart","index":29,"n_rows":96,"n_cols":17,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["Professor's past test score distribution is normally distributed",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"A1&CHAR(10)&A2&\" = \"&B2&CHAR(10)&A3&\" = \"&B3","v":"Professor's past test score distribution is normally distributed\nMean = µ =  = 74\nSD = s =  = 10"}]
["Mean = µ = ",74]
["SD = s = ",10]
["x = Test Score",80]
["Operator",">="]
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["z",{"$f":"(B4-B2)/B3","v":0.6}]
[{"$f":"\"P(z\"&B5&B4&\") = \"","v":"P(z>=80) = "},{"$f":"1-_xlfn.NORM.S.DIST(B7,1)","v":0.27425311775007355}]
[]
["# SD",null,4]
["Lower x for chart table",null,{"$f":"B2-B3*C10","v":34}]
["Upper x for chart table",null,{"$f":"B2+B3*C10","v":114}]
["Chart Title:",{"$f":"\"Test Scores, \"&A2&B2&\", \"&A3&B3","v":"Test Scores, Mean = µ = 74, SD = s = 10"}]
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[52,3.5474592846231421E-3,-2.2000000000000002,""]
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[83,2.6608524989875482E-2,0.9,2.6608524989875482E-2]
[84,2.4197072451914336E-2,1,2.4197072451914336E-2]
[85,2.1785217703255054E-2,1.1000000000000001,2.1785217703255054E-2]
[86,1.9418605498321296E-2,1.2,1.9418605498321296E-2]
[87,1.7136859204780735E-2,1.3,1.7136859204780735E-2]
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[100,1.3582969233685612E-3,2.6,1.3582969233685612E-3]
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[113,1.9865547139277272E-5,3.9,1.9865547139277272E-5]
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{"sheet":"Between Chart","index":30,"n_rows":97,"n_cols":17,"rows_kept":97,"cut":false,"hidden":false,"merged":[]}
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["SD = s = ",10]
["x = Test Score1",60]
["x = Test Score2",80]
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["z1",{"$f":"(B4-$B$2)/$B$3","v":-1.4}]
["z2",{"$f":"(B5-$B$2)/$B$3","v":0.6}]
[{"$f":"\"P(\"&B7&\">=Z<=\"&B8&\")=\"","v":"P(-1.4>=Z<=0.6)="},{"$f":"_xlfn.NORM.S.DIST(B8,1)-_xlfn.NORM.S.DIST(B7,1)","v":0.64499022301615538}]
[]
["# SD",null,4,null,null,null,null,null,null,null,null,null,null,"P(x)"]
["Lower x for chart table",null,{"$f":"B2-B3*C11","v":34},null,null,null,null,null,null,null,null,null,null,{"$f":"1/($B$3*SQRT(2*PI()))*EXP(1)^-((A17-$B$2)^2/(2*$B$3^2))","v":1.3383022576488543E-5}]
["Upper x for chart table",null,{"$f":"B2+B3*C11","v":114},null,null,null,null,null,null,null,null,null,null,1.9865547139277255E-5]
["Chart Title:",{"$f":"\"Test Scores, \"&A2&B2&\", \"&A3&B3","v":"Test Scores, Mean = µ = 74, SD = s = 10"},null,null,null,null,null,null,null,null,null,null,null,2.919469257914603E-5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,4.2478027055075183E-5]
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[86,1.9418605498321296E-2,1.2,"",null,null,null,null,null,null,null,null,null,9.4049077376886937E-3]
[87,1.7136859204780735E-2,1.3,"",null,null,null,null,null,null,null,null,null,7.8950158300894156E-3]
[88,1.4972746563574486E-2,1.4,"",null,null,null,null,null,null,null,null,null,6.5615814774676604E-3]
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{"sheet":"AccountingData","index":31,"n_rows":410,"n_cols":20,"rows_kept":410,"cut":false,"hidden":false,"merged":[]}
["A recent Online Job site published this data about Accounting Jobs:"]
["We are using the  Normal model because we know that salary data tends to"]
["be normally distributed, or at least, we feel comfortable using this model for"]
["this type of data even though we do not have the population data for Seattle."]
["Job Title","Location","Mean Annual Salary","Standard Deviation Annual Salary",null,null,null,null,null,null,null,null,null,null,null,null,null,"-3SD","+3 SD","Normal / Empirical Rule:"]
["Accounting","Seattle, WA",53000,4700,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C6-D6*3","v":38900},{"$f":"C6+D6*3","v":67100},"99% of values lie between +/- 3 SD"]
["Accounting","USA",66000,6200,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C7-D7*3","v":47400},{"$f":"C7+D7*3","v":84600}]
["Accounting","Oakland, CA",58000,5600,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C8-D8*3","v":41200},{"$f":"C8+D8*3","v":74800}]
[]
["Calculation",{"$f":"TRANSPOSE(B6:B8)","v":"Seattle, WA"},"USA","Oakland, CA"]
["Mean",{"$f":"C6","v":53000},{"$f":"C7","v":66000},{"$f":"C8","v":58000}]
["SD",{"$f":"D6","v":4700},{"$f":"D7","v":6200},{"$f":"D8","v":5600}]
["x lower",50000,50000,50000]
["x upper",60000,60000,60000]
["Operator","between"]
[{"$f":"\"P(\"&B13&\" <= \"&LEFT(A13,1)&\" <= \"&B14&\")\"","v":"P(50000 <= x <= 60000)"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Seattle Data Set:",null,"Lower X",50000,null,{"$f":"\"Normal Probability Distribution for Assumed Population Accounting Salary Data in Seattle, Mean = \"&DOLLAR(C6,0)&\", SD = \"&DOLLAR(D6,0)","v":"Normal Probability Distribution for Assumed Population Accounting Salary Data in Seattle, Mean = $53,000, SD = $4,700"}]
[null,null,"Upper X",60000]
[null,null,{"$f":"E33","v":"P(50K<=x<=60K) = 0.6702"},{"$f":"_xlfn.NORM.DIST(D30,C6,D6,1)-_xlfn.NORM.DIST(D29,C6,D6,1)","v":0.67016402772625749},null,null,{"$f":"_xlfn.NORM.INV(0.4,53000,4700)","v":51809.268615261739}]
[]
["X = Accounting Annual Salary in Seattle","X primary axis","z second axis","f(x)",{"$f":"\"P(\"&TEXT(D29,\"0,K\")&\"<=x<=\"&TEXT(D30,\"0,K\")&\") = \"&ROUND(D31,4)","v":"P(50K<=x<=60K) = 0.6702"}]
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{"sheet":"AccountingData (an)","index":32,"n_rows":410,"n_cols":20,"rows_kept":410,"cut":false,"hidden":false,"merged":[]}
["A recent Online Job site published this data about Accounting Jobs:"]
["We are using the  Normal model because we know that salary data tends to"]
["be normally distributed, or at least, we feel comfortable using this model for"]
["this type of data even though we do not have the population data for Seattle."]
["Job Title","Location","Mean Annual Salary","Standard Deviation Annual Salary",null,null,null,null,null,null,null,null,null,null,null,null,null,"-3SD","+3 SD","Normal / Empirical Rule:"]
["Accounting","Seattle, WA",53000,4700,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C6-D6*3","v":38900},{"$f":"C6+D6*3","v":67100},"99% of values lie between +/- 3 SD"]
["Accounting","USA",66000,6200,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C7-D7*3","v":47400},{"$f":"C7+D7*3","v":84600}]
["Accounting","Oakland, CA",58000,5600,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C8-D8*3","v":41200},{"$f":"C8+D8*3","v":74800}]
[]
["Calculation",{"$f":"TRANSPOSE(B6:B8)","v":"Seattle, WA"},"USA","Oakland, CA"]
["Mean",{"$f":"C6","v":53000},{"$f":"C7","v":66000},{"$f":"C8","v":58000}]
["SD",{"$f":"D6","v":4700},{"$f":"D7","v":6200},{"$f":"D8","v":5600}]
["x lower",50000,50000,50000]
["x upper",60000,60000,60000]
["Operator","between"]
[{"$f":"\"P(\"&B13&\" <= \"&LEFT(A13,1)&\" <= \"&B14&\")\"","v":"P(50000 <= x <= 60000)"},{"$f":"_xlfn.NORM.DIST(B14,B11,B12,1)-_xlfn.NORM.DIST(B13,B11,B12,1)","v":0.67016402772625749},{"$f":"_xlfn.NORM.DIST(C14,C11,C12,1)-_xlfn.NORM.DIST(C13,C11,C12,1)","v":0.16165584014690693},0.56294384353933002]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Seattle Data Set:",null,"Lower X",50000,null,{"$f":"\"Normal Probability Distribution for Assumed Population Accounting Salary Data in Seattle, Mean = \"&DOLLAR(C6,0)&\", SD = \"&DOLLAR(D6,0)","v":"Normal Probability Distribution for Assumed Population Accounting Salary Data in Seattle, Mean = $53,000, SD = $4,700"}]
[null,null,"Upper X",60000]
[null,null,{"$f":"E33","v":"P(50K<=x<=60K) = 0.6702"},{"$f":"_xlfn.NORM.DIST(D30,C6,D6,1)-_xlfn.NORM.DIST(D29,C6,D6,1)","v":0.67016402772625749},null,null,{"$f":"_xlfn.NORM.INV(0.4,53000,4700)","v":51809.268615261739}]
[]
["X = Accounting Annual Salary in Seattle","X primary axis","z second axis","f(x)",{"$f":"\"P(\"&TEXT(D29,\"0,K\")&\"<=x<=\"&TEXT(D30,\"0,K\")&\") = \"&ROUND(D31,4)","v":"P(50K<=x<=60K) = 0.6702"}]
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{"sheet":"GasData","index":33,"n_rows":13,"n_cols":13,"rows_kept":13,"cut":false,"hidden":false,"merged":[]}
["A recent Seattle Area Consumer Web Site published this data:"]
["Location","Mean Gas Price per Gallon","Standard Deviation Gas Price per Gallon",null,null,null,null,null,null,null,"-3SD","+3 SD","Normal / Empirical Rule:"]
["Seattle, WA",2.359,0.16500000000000001,null,null,null,null,null,null,null,{"$f":"B3-C3*3","v":1.8639999999999999},{"$f":"B3+C3*3","v":2.8540000000000001},"99% of values lie between +/- 3 SD"]
["Burien, WA",2.39333333333333,0.186,null,null,null,null,null,null,null,{"$f":"B4-C4*3","v":1.8353333333333299},{"$f":"B4+C4*3","v":2.9513333333333298}]
[]
["What is the probability of finding a gallon of gas in Seattle that is between $2.10 and $2.30?"]
["What is the probability of finding a gallon of gas in Burien that is more than $2.50?"]
[]
["x lower Seattle"]
["x upper Seattle"]
[{"$f":"\"P($\"&B9&\" <= x <= $\"&B10&\") =\"","v":"P($ <= x <= $) ="}]
["x upper Burien"]
[{"$f":"\"P(x >= $\"&B12&\")\"","v":"P(x >= $)"}]

{"sheet":"GasData (an)","index":34,"n_rows":13,"n_cols":13,"rows_kept":13,"cut":false,"hidden":false,"merged":[]}
["A recent Seattle Area Consumer Web Site published this data:"]
["Location","Mean Gas Price per Gallon","Standard Deviation Gas Price per Gallon",null,null,null,null,null,null,null,"-3SD","+3 SD","Normal / Empirical Rule:"]
["Seattle, WA",2.359,0.16500000000000001,null,null,null,null,null,null,null,{"$f":"B3-C3*3","v":1.8639999999999999},{"$f":"B3+C3*3","v":2.8540000000000001},"99% of values lie between +/- 3 SD"]
["Burien, WA",2.39333333333333,0.186,null,null,null,null,null,null,null,{"$f":"B4-C4*3","v":1.8353333333333299},{"$f":"B4+C4*3","v":2.9513333333333298}]
[]
["What is the probability of finding a gallon of gas in Seattle that is between $2.10 and $2.30?"]
["What is the probability of finding a gallon of gas in Burien that is more than $2.50?"]
[]
["x lower Seattle",2.1]
["x upper Seattle",2.2999999999999998]
[{"$f":"\"P($\"&B9&\" <= x <= $\"&B10&\") =\"","v":"P($2.1 <= x <= $2.3) ="},{"$f":"_xlfn.NORM.DIST(B10,B3,C3,1)-_xlfn.NORM.DIST(B9,B3,C3,1)","v":0.30208759822760733}]
["x upper Burien",2.59]
[{"$f":"\"P(x >= $\"&B12&\")\"","v":"P(x >= $2.59)"},{"$f":"1-_xlfn.NORM.DIST(B12,B4,C4,1)","v":0.14517647233777686}]

{"sheet":"Catsup Filling Machine","index":35,"n_rows":12,"n_cols":3,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
["Ketchup Bottle lists that it contains 20 oz."]
["Past Historical Data shows that the machine fills with a standard deviation of .2 oz."]
["What lower and upper value would you expect for a +/- 2.5 SD range?"]
["What probability is associated with those upper and lower values?"]
[]
["Mew = Pop Mean =",20,"oz."]
["Sigma = Pop Standard Deviation =",0.2,"oz."]
["z = Number of SD",2.5]
["x lower"]
["x upper"]
[{"$f":"\"P(\"&B9&\" <= x <= \"&B10&\") =\"","v":"P( <= x <= ) ="}]
[{"$f":"\"P(-\"&B8&\" <= z <= \"&B8&\") =\"","v":"P(-2.5 <= z <= 2.5) ="}]

{"sheet":"Catsup Filling Machine (an)","index":36,"n_rows":12,"n_cols":3,"rows_kept":12,"cut":false,"hidden":false,"merged":[]}
["Ketchup Bottle lists that it contains 20 oz."]
["Past Historical Data shows that the machine fills with a standard deviation of .2 oz."]
["What lower and upper value would you expect for a +/- 2.5 SD range?"]
["What probability is associated with those upper and lower values?"]
[]
["Mew = Pop Mean =",20,"oz."]
["Sigma = Pop Standard Deviation =",0.2,"oz."]
["z = Number of SD",2.5]
["x lower",{"$f":"B6-B7*B8","v":19.5}]
["x upper",{"$f":"B6+B7*B8","v":20.5}]
[{"$f":"\"P(\"&B9&\" <= x <= \"&B10&\") =\"","v":"P(19.5 <= x <= 20.5) ="},{"$f":"_xlfn.NORM.DIST(B10,B6,B7,1)-_xlfn.NORM.DIST(B9,B6,B7,1)","v":0.98758066934844768}]
[{"$f":"\"P(-\"&B8&\" <= z <= \"&B8&\") =\"","v":"P(-2.5 <= z <= 2.5) ="},{"$f":"_xlfn.NORM.S.DIST(B8,1)-_xlfn.NORM.S.DIST(-B8,1)","v":0.98758066934844768}]

{"sheet":"Ex-Dick'sHam","index":37,"n_rows":117,"n_cols":23,"rows_kept":117,"cut":false,"hidden":false,"merged":[]}
["Example 1:",null,null,null,null,null,null,"Arrivals to Dick's Hamburgers at 45th Ave in Seattle at Saturday noon lunch during a 1-minute period. 3.88 Arrivals/1 Min. Average Time Between Arrivals = 0.2577 mins or about 15 seconds between arrivals."]
["From past data we know that the mean number of arrivals at the Dick's Hamburger Restaurant at Sat. Lunch is 3.88 people/minute."]
[null,null,null,null,null,null,null,"Mean"]
[null,null,null,null,null,null,null,3.88,"3.88 Arrivals/1 Min"]
["X = Arrivals During 1 min","P(X) POISSON Function",null,null,null,null,null,"Mean time between arrivals",null,{"$f":"ROUND(1/$H$4*60,0)","v":15}]
[0,{"$f":"_xlfn.POISSON.DIST(A6,$H$4,0)","v":2.0650825181712566E-2},null,null,null,null,null,null,"1 Min/3.88 Arrivals = 0.2577 mins/1 Arrival",null,null,null,"Ave wait time between arrivals = 0.2577 mins"]
[1,8.0125201705044752E-2,null,null,null,null,null,null,"15 seconds between each new arrival"]
[2,0.1554428913077868]
[3,0.20103947275807099,null,null,null,null,null,{"$f":"\"Probability that time between arrivals will be \"&I10&\" seconds or less?\"","v":"Probability that time between arrivals will be 10 seconds or less?"}]
[4,0.19500828857532884,null,null,null,null,null,"x",10]
[5,0.15132643193445516,null,null,null,null,null,{"$f":"\"P(x <= \"&I10&\") = \"","v":"P(x <= 10) = "},null,null,{"$f":"1-EXP(1)^-(I10/ROUND(1/$H$4*60,0))","v":0.48658288096740798}]
[6,9.7857759317614312E-2,null,null,null,null,null,{"$f":"\"Probability that time between arrivals will be \"&I13&\" seconds or more?\"","v":"Probability that time between arrivals will be 30 seconds or more?"}]
[7,5.4241158021763422E-2,null,null,null,null,null,"x",30]
[8,2.6306961640555224E-2,null,null,null,null,null,{"$f":"\"P(x >= \"&I13&\") = \"","v":"P(x >= 30) = "},null,null,{"$f":"EXP(1)^-(I13/ROUND(1/$H$4*60,0))","v":0.1353352832366127}]
[9,1.134122346281714E-2]
[10,4.400394703573055E-3,null,null,null,null,null,"x = seconds between arrivals","f(x)",{"$f":"H11&ROUND(_xlfn.EXPON.DIST(I10,1/ROUND(1/$H$4*60,0),1),4)","v":"P(x <= 10) = 0.4866"},{"$f":"H14&1-ROUND(_xlfn.EXPON.DIST(I13,1/ROUND(1/$H$4*60,0),1),4)","v":"P(x >= 30) = 0.1353"},null,null,null,null,null,null,null,null,null,null,null,"f(x)"]
[11,1.5521392227148608E-3,null,null,null,null,null,0,{"$f":"_xlfn.EXPON.DIST(H17,1/ROUND(1/$H$4*60,0),0)","v":6.6666666666666666E-2},{"$f":"IF(H17<=$I$10,I17,\"\")","v":6.6666666666666666E-2},{"$f":"IF(H17>=$I$13,I17,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,{"$f":"1/ROUND(1/$H$4*60,0)*EXP(1)^-(H17/ROUND(1/$H$4*60,0))","v":6.6666666666666666E-2}]
[12,5.0185834867780407E-4,null,null,null,null,null,{"$f":"H17+1","v":1},{"$f":"_xlfn.EXPON.DIST(H18,1/ROUND(1/$H$4*60,0),0)","v":6.2367132335441187E-2},{"$f":"IF(H18<=$I$10,I18,\"\")","v":6.2367132335441187E-2},{"$f":"IF(H18>=$I$13,I18,\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,{"$f":"1/ROUND(1/$H$4*60,0)*EXP(1)^-(H18/ROUND(1/$H$4*60,0))","v":6.2367132335441174E-2}]
[13,1.4978541483614462E-4,null,null,null,null,null,{"$f":"H18+1","v":2},5.83448879361965E-2,5.83448879361965E-2,"",null,null,null,null,null,null,null,null,null,null,null,5.8344887936196493E-2]
[14,4.1511957826017288E-5,null,null,null,null,null,3,5.4582050205198789E-2,5.4582050205198789E-2,"",null,null,null,null,null,null,null,null,null,null,null,5.4582050205198789E-2]
[15,1.0737759757663123E-5,null,null,null,null,null,4,5.106188922430991E-2,5.106188922430991E-2,"",null,null,null,null,null,null,null,null,null,null,null,5.106188922430991E-2]
[16,2.6039067412333054E-6,null,null,null,null,null,5,4.776875403825262E-2,4.776875403825262E-2,"",null,null,null,null,null,null,null,null,null,null,null,4.776875403825262E-2]
[17,5.943034209403063E-7,null,null,null,null,null,6,4.4688003069042623E-2,4.4688003069042623E-2,"",null,null,null,null,null,null,null,null,null,null,null,4.4688003069042623E-2]
[18,1.2810540406935535E-7,null,null,null,null,null,7,4.1805939018203737E-2,4.1805939018203737E-2,"",null,null,null,null,null,null,null,null,null,null,null,4.1805939018203744E-2]
[19,2.61604719888999E-8,null,null,null,null,null,8,3.9109747967335455E-2,3.9109747967335455E-2,"",null,null,null,null,null,null,null,null,null,null,null,3.9109747967335448E-2]
[20,5.0751315658465849E-9,null,null,null,null,null,9,3.6587442406268426E-2,3.6587442406268426E-2,"",null,null,null,null,null,null,null,null,null,null,null,3.6587442406268433E-2]
[21,9.3769097502308185E-10,null,null,null,null,null,10,3.4227807935506137E-2,3.4227807935506137E-2,"",null,null,null,null,null,null,null,null,null,null,null,3.4227807935506137E-2]
[22,1.6537459014043502E-10,null,null,null,null,null,11,3.2020353405986628E-2,"","",null,null,null,null,null,null,null,null,null,null,null,3.2020353405986621E-2]
[23,2.7897974336734243E-11,null,null,null,null,null,12,2.9955264274481436E-2,"","",null,null,null,null,null,null,null,null,null,null,null,2.9955264274481436E-2]
[24,4.5101725177720354E-12,null,null,null,null,null,13,2.8023358967245459E-2,"","",null,null,null,null,null,null,null,null,null,null,null,2.8023358967245462E-2]
[25,6.9997877475821791E-13,null,null,null,null,null,14,2.621604805790655E-2,"","",null,null,null,null,null,null,null,null,null,null,null,2.621604805790655E-2]
[26,1.0445837100238E-13,null,null,null,null,null,15,2.4525296078096157E-2,"","",null,null,null,null,null,null,null,null,null,null,null,2.4525296078096157E-2]
[27,1.5011054795897582E-14,null,null,null,null,null,16,2.2943585791027492E-2,"","",null,null,null,null,null,null,null,null,null,null,null,2.2943585791027492E-2]
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[null,null,null,null,null,null,null,29,9.6443451092663376E-3,"","",null,null,null,null,null,null,null,null,null,null,null,9.6443451092663376E-3]
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[null,null,null,null,null,null,null,37,5.6578185980011601E-3,"",5.6578185980011601E-3,null,null,null,null,null,null,null,null,null,null,null,5.6578185980011601E-3]
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[null,null,null,null,null,null,null,43,3.7925492230734344E-3,"",3.7925492230734344E-3,null,null,null,null,null,null,null,null,null,null,null,3.7925492230734344E-3]
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[null,null,null,null,null,null,null,47,2.9048209245947755E-3,"",2.9048209245947755E-3,null,null,null,null,null,null,null,null,null,null,null,2.9048209245947755E-3]
[null,null,null,null,null,null,null,48,2.717480265224414E-3,"",2.717480265224414E-3,null,null,null,null,null,null,null,null,null,null,null,2.717480265224414E-3]
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[null,null,null,null,null,null,null,52,2.0813951440820603E-3,"",2.0813951440820603E-3,null,null,null,null,null,null,null,null,null,null,null,2.0813951440820603E-3]
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[null,null,null,null,null,null,null,57,1.4913847904110401E-3,"",1.4913847904110401E-3,null,null,null,null,null,null,null,null,null,null,null,1.4913847904110401E-3]
[null,null,null,null,null,null,null,58,1.3952008887994428E-3,"",1.3952008887994428E-3,null,null,null,null,null,null,null,null,null,null,null,1.3952008887994428E-3]
[null,null,null,null,null,null,null,59,1.3052201769942005E-3,"",1.3052201769942005E-3,null,null,null,null,null,null,null,null,null,null,null,1.3052201769942005E-3]
[null,null,null,null,null,null,null,60,1.2210425925822785E-3,"",1.2210425925822785E-3,null,null,null,null,null,null,null,null,null,null,null,1.2210425925822787E-3]
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[null,null,null,null,null,null,null,63,9.997051213651801E-4,"",9.997051213651801E-4,null,null,null,null,null,null,null,null,null,null,null,9.997051213651801E-4]
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[null,null,null,null,null,null,null,{"$f":"H82+1","v":66},8.1848932687122902E-4,"",8.1848932687122902E-4,null,null,null,null,null,null,null,null,null,null,null,8.1848932687122913E-4]
[null,null,null,null,null,null,null,67,7.6570248246186196E-4,"",7.6570248246186196E-4,null,null,null,null,null,null,null,null,null,null,null,7.6570248246186196E-4]
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[null,null,null,null,null,null,null,76,4.2022643216115224E-4,"",4.2022643216115224E-4,null,null,null,null,null,null,null,null,null,null,null,4.2022643216115224E-4]
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[null,null,null,null,null,null,null,80,3.2186333292209606E-4,"",3.2186333292209606E-4,null,null,null,null,null,null,null,null,null,null,null,3.2186333292209606E-4]
[null,null,null,null,null,null,null,81,3.0110539617417774E-4,"",3.0110539617417774E-4,null,null,null,null,null,null,null,null,null,null,null,3.0110539617417774E-4]
[null,null,null,null,null,null,null,82,2.816862013516559E-4,"",2.816862013516559E-4,null,null,null,null,null,null,null,null,null,null,null,2.816862013516559E-4]
[null,null,null,null,null,null,null,83,2.6351940895149689E-4,"",2.6351940895149689E-4,null,null,null,null,null,null,null,null,null,null,null,2.6351940895149689E-4]
[null,null,null,null,null,null,null,84,2.4652424776552882E-4,"",2.4652424776552882E-4,null,null,null,null,null,null,null,null,null,null,null,2.4652424776552882E-4]
[null,null,null,null,null,null,null,85,2.3062515576431722E-4,"",2.3062515576431722E-4,null,null,null,null,null,null,null,null,null,null,null,2.3062515576431722E-4]
[null,null,null,null,null,null,null,86,2.1575144414152366E-4,"",2.1575144414152366E-4,null,null,null,null,null,null,null,null,null,null,null,2.1575144414152366E-4]
[null,null,null,null,null,null,null,87,2.0183698302505434E-4,"",2.0183698302505434E-4,null,null,null,null,null,null,null,null,null,null,null,2.0183698302505431E-4]
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[null,null,null,null,null,null,null,90,1.6525014511109058E-4,"",1.6525014511109058E-4,null,null,null,null,null,null,null,null,null,null,null,1.6525014511109063E-4]
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[null,null,null,null,null,null,null,94,1.2656976905945467E-4,"",1.2656976905945467E-4,null,null,null,null,null,null,null,null,null,null,null,1.265697690594547E-4]
[null,null,null,null,null,null,null,95,1.1840690304895861E-4,"",1.1840690304895861E-4,null,null,null,null,null,null,null,null,null,null,null,1.1840690304895861E-4]
[null,null,null,null,null,null,null,96,1.1077048487826225E-4,"",1.1077048487826225E-4,null,null,null,null,null,null,null,null,null,null,null,1.1077048487826225E-4]
[null,null,null,null,null,null,null,97,1.0362656233895355E-4,"",1.0362656233895355E-4,null,null,null,null,null,null,null,null,null,null,null,1.0362656233895355E-4]
[null,null,null,null,null,null,null,98,9.6943372902905437E-5,"",9.6943372902905437E-5,null,null,null,null,null,null,null,null,null,null,null,9.6943372902905437E-5]
[null,null,null,null,null,null,null,99,9.0691202503192928E-5,"",9.0691202503192928E-5,null,null,null,null,null,null,null,null,null,null,null,9.0691202503192928E-5]
[null,null,null,null,null,null,null,100,8.4842253422653859E-5,"",8.4842253422653859E-5,null,null,null,null,null,null,null,null,null,null,null,8.4842253422653859E-5]

{"sheet":"Ex-Dick'sHam (an)","index":38,"n_rows":117,"n_cols":23,"rows_kept":117,"cut":false,"hidden":false,"merged":[]}
["Example 1:",null,null,null,null,null,null,"Arrivals to Dick's Hamburgers at 45th Ave in Seattle at Saturday noon lunch during a 1-minute period. 3.88 Arrivals/1 Min. Average Time Between Arrivals = 0.2577 mins or about 15 seconds between arrivals."]
["From past data we know that the mean number of arrivals at the Dick's Hamburger Restaurant at Sat. Lunch is 3.88 people/minute."]
[null,null,null,null,null,null,null,"Mean"]
[null,null,null,null,null,null,null,3.88,"3.88 Arrivals/1 Min"]
["X = Arrivals During 1 min","P(X) POISSON Function",null,null,null,null,null,"Mean time between arrivals",null,{"$f":"ROUND(1/$H$4*60,0)","v":15}]
[0,{"$f":"_xlfn.POISSON.DIST(A6,$H$4,0)","v":2.0650825181712566E-2},null,null,null,null,null,{"$f":"1/H4","v":0.25773195876288663},"1 Min/3.88 Arrivals = 0.2577 mins/1 Arrival",null,null,null,"Ave wait time between arrivals = 0.2577 mins"]
[1,8.0125201705044752E-2,null,null,null,null,null,{"$f":"ROUND(H6*60,0)","v":15},"15 seconds between each new arrival"]
[2,0.1554428913077868]
[3,0.20103947275807099,null,null,null,null,null,{"$f":"\"Probability that time between arrivals will be \"&I10&\" seconds or less?\"","v":"Probability that time between arrivals will be 10 seconds or less?"}]
[4,0.19500828857532884,null,null,null,null,null,"x",10]
[5,0.15132643193445516,null,null,null,null,null,{"$f":"\"P(x <= \"&I10&\") = \"","v":"P(x <= 10) = "},{"$f":"_xlfn.EXPON.DIST(I10,1/H7,1)","v":0.48658288096740798},null,{"$f":"1-EXP(1)^-(I10/ROUND(1/$H$4*60,0))","v":0.48658288096740798}]
[6,9.7857759317614312E-2,null,null,null,null,null,{"$f":"\"Probability that time between arrivals will be \"&I13&\" seconds or more?\"","v":"Probability that time between arrivals will be 30 seconds or more?"}]
[7,5.4241158021763422E-2,null,null,null,null,null,"x",30]
[8,2.6306961640555224E-2,null,null,null,null,null,{"$f":"\"P(x >= \"&I13&\") = \"","v":"P(x >= 30) = "},{"$f":"1-_xlfn.EXPON.DIST(I13,1/H7,1)","v":0.1353352832366127},null,{"$f":"EXP(1)^-(I13/ROUND(1/$H$4*60,0))","v":0.1353352832366127}]
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{"sheet":"Exponential-DisneyWaitTime","index":39,"n_rows":726,"n_cols":5,"rows_kept":726,"cut":false,"hidden":false,"merged":[]}
["For a particular Disney Ride, the mean time to wait in line is 22 minutes (Distribution follows an Exponential Distribution pattern."]
["Mean = µ",22,"time to stand in line"]
["x",15]
[{"$f":"\"P(x<=\"&$B$3&\")\"","v":"P(x<=15)"},null,null," =1-EXP(1)^(-B3/B2)"]
[{"$f":"\"P(x<=\"&$B$3&\")\"","v":"P(x<=15)"},null,null," =EXPON.DIST(B3,1/B2,1)"]
["x",25]
[{"$f":"\"P(x>=\"&$B$6&\")\"","v":"P(x>=25)"},null,null," =EXP(1)^-(B6/B2)"]
[{"$f":"\"P(x>=\"&$B$6&\")\"","v":"P(x>=25)"},null,null," =1-EXPON.DIST(B6,1/B2,1)"]
[{"$f":"\"P(\"&$B$3&\"<=x<=\"&$B$6&\")\"","v":"P(15<=x<=25)"},null,null," =1-B8-B5"]
[{"$f":"\"P(\"&$B$3&\"<=x<=\"&$B$6&\")\"","v":"P(15<=x<=25)"},null,null," =EXPON.DIST(B6,1/B2,1)-EXPONDIST(B3,1/B2,1)"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Exponential Probability Distribution:"]
["Useful for computing probabilities for the time it takes to complete a task"]
["or the distance between similar occurrences (successes)"]
["x = continuous random variable"]
["Mean = Standard Deviation"]
["Examples:"]
["Time between arrivals at carwash"]
["Time to take a test"]
["Distance between potholes on a road"]
["If the arrivals follow a Poisson Distribution, the time between arrivals must follow an Exponential Distribution."]
["Whereas the Poisson Distribution provides an appropriate description of the number of occurrences (successes) per interval"]
["Exponential Distribution provides an appropriate description of the length of the interval between occurrences (successes)"]
[]
[]
[]
[]
[]
["x","f(x)",{"$f":"A4","v":"P(x<=15)"},{"$f":"A7","v":"P(x>=25)"},{"$f":"A10","v":"P(15<=x<=25)"}]
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{"sheet":"Exponential-DisneyWaitTime ","index":40,"n_rows":726,"n_cols":5,"rows_kept":726,"cut":false,"hidden":false,"merged":[]}
["For a particular Disney Ride, the mean time to wait in line is 22 minutes (Distribution follows an Exponential Distribution pattern."]
["Mean = µ",22,"time to stand in line"]
["x",15]
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["x",25]
[{"$f":"\"P(x>=\"&$B$6&\")\"","v":"P(x>=25)"},{"$f":"EXP(1)^-(B6/B2)","v":0.32098411714875263},".",{"$f":"\" \"&_xlfn.FORMULATEXT(B7)","v":" =EXP(1)^-(B6/B2)"}]
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[{"$f":"\"P(\"&$B$3&\"<=x<=\"&$B$6&\")\"","v":"P(15<=x<=25)"},{"$f":"1-B8-B5","v":0.18471259028871978},".",{"$f":"\" \"&_xlfn.FORMULATEXT(B9)","v":" =1-B8-B5"}]
[{"$f":"\"P(\"&$B$3&\"<=x<=\"&$B$6&\")\"","v":"P(15<=x<=25)"},{"$f":"_xlfn.EXPON.DIST(B6,1/B2,1)-EXPONDIST(B3,1/B2,1)","v":0.18471259028871978},null,{"$f":"\" \"&_xlfn.FORMULATEXT(B10)","v":" =EXPON.DIST(B6,1/B2,1)-EXPONDIST(B3,1/B2,1)"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Exponential Probability Distribution:"]
["Useful for computing probabilities for the time it takes to complete a task"]
["or the distance between similar occurrences (successes)"]
["x = continuous random variable"]
["Mean = Standard Deviation"]
["Examples:"]
["Time between arrivals at carwash"]
["Time to take a test"]
["Distance between potholes on a road"]
["If the arrivals follow a Poisson Distribution, the time between arrivals must follow an Exponential Distribution."]
["Whereas the Poisson Distribution provides an appropriate description of the number of occurrences (successes) per interval"]
["Exponential Distribution provides an appropriate description of the length of the interval between occurrences (successes)"]
[]
[]
[]
[]
[]
["x","f(x)",{"$f":"A4","v":"P(x<=15)"},{"$f":"A7","v":"P(x>=25)"},{"$f":"A10","v":"P(15<=x<=25)"}]
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