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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 29 "Example 1: Simple Simulat
ions" }}{PARA 19 "" 0 "" {TEXT -1 15 "by Zavan Karian" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "restart: with(plots, display): libn
ame:=\"C:/mylib/statistics\",libname: with(stat);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#7gs%'Anova1G%(Anova2mG%(Anova2sG%*AnovaBetaG%-Bernoulli
CDFG%-BernoulliPDFG%+BernoulliSG%(BetaCDFG%&BetaPG%(BetaPDFG%&BetaSG%,
BinomialCDFG%,BinomialPDFG%*BinomialSG%3BivariateNormalPDFG%1Bivariate
NormalSG%+BoxWhiskerG%*CauchyPDFG%(CauchySG%-ChisquareCDFG%-ChisquareF
itG%+ChisquarePG%-ChisquarePDFG%+ChisquareSG%*ClassFreqG%-ConfIntAvLen
G%,ConfIntMeanG%,ConfIntPlotG%,ConfIntPropG%+ConfIntSucG%+ConfIntVarG%
,ContingencyG%,ContinuousSG%,ConvolutionG%,CorrelationG%&CrapsG%$DieG%
-DiscUniformSG%*DiscreteSG%5DoubleExponentialPDFG%/ExponentialCDFG%-Ex
ponentialPG%/ExponentialPDFG%-ExponentialSG%0ExponentialSumSG%%FCDFG%#
FPG%%FPDFG%#FSG%*FastCrapsG%%FreqG%&GBCDFG%'GBDPDFG%$GBPG%)GammaCDFG%'
GammaPG%)GammaPDFG%'GammaSG%-GeometricCDFG%-GeometricPDFG%+GeometricSG
%.GraphRandWalkG%/GraphRandWalk2G%*HistogramG%2HypergeometricPDFG%0Hyp
ergeometricSG%&KSFitG%)KurtosisG%'LinRegG%'LocateG%,LogisticPDFG%*Logi
sticSG%+MakeRandomG%0MarginalRelFreqG%$MaxG%%MeanG%'MedianG%+MedianTes
tG%$MinG%%N01SG%/NegBinomialCDFG%/NegBinomialPDFG%-NegBinomialSG%.Norm
TransVarSG%*NormalCDFG%,NormalMeanSG%.NormalMedianSG%(NormalPG%*Normal
PDFG%(NormalSG%+NormalSumSG%0NormalVarianceSG%&OgiveG%+PercentileG%,Pl
otDiscCDFG%+PlotEmpCDFG%+PlotEmpPDFG%,PlotPolyRegG%3PlotRunningAverage
G%+PoissonCDFG%+PoissonPDFG%)PoissonSG%(PolyRegG%)ProbHistG%#QQG%&QQFi
tG%$RNGG%)RandWalkG%*RandWalk2G%&RangeG%(RegAnalG%(RegBandG%*Residuals
G%(RunTestG%+RunningSumG%)ScatPlotG%-ScatPlotLineG%)SignTestG%)Skewnes
sG%&StDevG%)StemLeafG%%TCDFG%#TPG%%TPDFG%#TSG%)TimePlotG%+UniformCDFG%
-UniformMeanSG%/UniformMedianSG%)UniformPG%+UniformPDFG%)UniformSG%,Un
iformSumSG%)VarianceG%+WeibullPDFG%)WilcoxonG%*Wilcoxon2G%*XbarChartG%
$rngG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "A := Die(6,8);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG7*\"\"%\"\"$F&\"\"'\"\"&F'F(F'" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Freq(A, 1..6);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#7(\"\"!F$\"\"$\"\"#\"\"\"F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "A := Die(4, 400):" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 14 "Freq(A, 1..4);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#7&\"$,\"\"$2\"\"#()\"$0\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 41 "Coins := DiscreteS( [0, 1/2, 1, 1/2], 8);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%&CoinsG7*\"\"\"F&\"\"!F&F&F'F'F&" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "pdf := x/10;" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%$pdfG,$%\"xG#\"\"\"\"#5" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 34 "Sample := DiscreteS(pdf, 1..4, 5);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%'SampleG7'\"\"$\"\"%\"\"\"F(F(" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "Sample := DiscreteS(pdf, 1..4, 300)
:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "EH := Histogram(Sample
, 0.5..4.5, 4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "PH := Pr
obHist(pdf, 1..4):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "displ
ay(\{EH,PH\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "
6&-%'CURVESG6%727$$\"3++++++++]!#=$\"\"!F,7$F($\"3#)*****pmmmm*!#>7$$
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F77$F:F+F<7$F:$\"3))*****pmmm;$F*7$$\"3++++++++NF4F>7$FAF+FC7$FA$\"37+
++nmmmSF*7$$\"3++++++++XF4FE7$FHF+-%'COLOURG6&%$RGBG$\"*++++\"!\")F+F+
-%*LINESTYLEG6#\"\"$-F$6$72F'7$F($\"3/+++++++5F*7$F2FZF5F57$F2$\"35+++
++++?F*7$F:FhnF<F<7$F:$\"3))**************HF*7$FAF\\oFCFC7$FA$\"3A++++
+++SF*7$FHF`oFJ-FL6&FNF+F+FO-%+AXESLABELSG6%Q!6\"Fho%(DEFAULTG-%%VIEWG
6$FjoFjo" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Cur
ve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "S1 := Bi
nomialS(10, 0.25, 200):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "
S2 := GammaS(3, 2, 100):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 
"PlotEmpPDF(S2);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 
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PlotEmpPDF(S2, 0..25, 10);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 
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;$\"31+++++++GF27$$\"3+++++++v8FF$\"35+++++++S!#?7$$\"3+++++++D;FF$F=F
N7$$\"3+++++++v=FFF+7$$\"3+++++++D@FFFR7$$\"3+++++++vBFFF+7$$\"3++++++
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$\"*++++\"!\")F+F+-%%VIEWG6$%(DEFAULTGF\\p" 1 2 0 3 10 0 2 6 1 4 2 
1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 21 "PlotEmpCDF(S2,0..25);" }}{PARA 13 "" 1 "" 
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" "Curve 85" "Curve 86" "Curve 87" "Curve 88" "Curve 89" "Curve 90" "C
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