Mathematica數(shù)學(xué)試驗(yàn)——隨機(jī)變量的概率分布

1、教師指導(dǎo)實(shí)驗(yàn)7實(shí)驗(yàn)名稱：隨機(jī)變量的概率分布、問題：求二項(xiàng)分布、幾何分布、正態(tài)分布在給定區(qū)間上的概率。二、實(shí)驗(yàn)?zāi)康?學(xué)會(huì)使用Mathematica求二項(xiàng)分布、幾何分布、正態(tài)分布在給定區(qū)間上的概率及期望和方差。三、預(yù)備知識(shí)：本實(shí)驗(yàn)所用的Mathematica命令提示1、BinomialDistributionn,p二項(xiàng)分布；GeometricDistributionp幾何分布；NormalDistribution乩cr正態(tài)分布；2、Domaindist求分布dist的定義域；PDFdist,x求點(diǎn)x處的分布dist的密度值；CDFdist,x求點(diǎn)x處的分布dist的函數(shù)值；Meandist求分布d

2、ist的期望；Quantiledist,x求x,使CDFdist,x=qVariancedist求分布dist的方差；StandardVariancedist求分布dist的標(biāo)準(zhǔn)差；四、實(shí)驗(yàn)的內(nèi)容和要求：1、取50個(gè)在1到20的隨機(jī)整數(shù)，求這組數(shù)的極差、中位數(shù)、均值、方差及標(biāo)準(zhǔn)差；2、對(duì)以上數(shù)據(jù)繪制樣本頻率分布直方圖；3、data1=1,3,4,5,3.5,3,data2=3,2,5,3,在同一圖表中繪制data1和data2的條形圖,并作一定的修飾。五、操作提示1、取50個(gè)在1到20的隨機(jī)整數(shù)，求這組數(shù)的極差、中位數(shù)、均值、方差及標(biāo)準(zhǔn)差;In1:=In2:=In3:=Out3=In4:=Ou

3、t4=In5:=<<Statistics'DescriptiveStatistics'data=TableRandomInteger,1,20,60;SampleRangedata19Mediandata11Out5=Meandata221In6:=Out6=20VarianceMLEdata440171200In7：=StandarDevarianceMLEdata44017Out7=3202、對(duì)以上數(shù)據(jù)繪制樣本頻率分布直方圖;In8：=<<Graphics'Graphics'In9：=HistogramdataOut9=-Graphi

4、cs-Inl0：=Histogramdata,Ticks->IntervalCenters,HistogramScale->1Out10=-Graphics-lnll：=Histogramdata,Ticks->IntervalBoundaries,HistogramScale->2Out12=In13：=Season",Outll=-Graphics-3、data1=1,3,4,5,3.5,3,data2=3,2,5,3,在同一圖表中繪制data1和data2的條形圖,并作一定的修飾。In12:=BarChart1,3,4,5,3.5,3,3,2,5,3,B

5、arSpacing->0.7,BarGroupSpacing->0.5,BarStyle->BGBColor1,0,0,BGBColor0,1,0.2,BarEdgeStyle->Dashing.01,BGBColor0,0,1,GrayLevel0,BarLabels->"Apr","May","Jun","Jul","Aug","Sep",PlotLabel->"ProjectedandCurrentProfit,Touris

6、tDefaultFont->"Helvetica",11Out13=ProjectedandCurrentProfit,TouristSeasonAprMayJunJulAugSep-Graphics-學(xué)生實(shí)驗(yàn)6實(shí)驗(yàn)名稱：簡(jiǎn)單數(shù)理統(tǒng)計(jì)一、問題：求樣本數(shù)據(jù)的特征數(shù)字值；繪制樣本的頻率分布條形圖和直方圖。二、實(shí)驗(yàn)?zāi)康模簩W(xué)會(huì)使用Mathematica求求樣本數(shù)據(jù)的極差、中位數(shù)、均值、方差及標(biāo)準(zhǔn)差；繪制樣本的頻率分布直方圖并作簡(jiǎn)單的修飾。三、實(shí)驗(yàn)的內(nèi)容和要求：1、取50個(gè)在1到20的隨機(jī)整數(shù)，求這組數(shù)的極差、中位數(shù)、均值、方差及標(biāo)準(zhǔn)差；2、對(duì)以上數(shù)據(jù)繪制樣本頻率分布直方圖；3

7、、data1=1,3,4,5,3.5,3,data2=3,2,5,3,在同一圖表中繪制datal和data2的條形圖,并作一定的修飾。五、操作提示1、取50個(gè)在1到20的隨機(jī)整數(shù)，求這組數(shù)的極差、中位數(shù)、均值、方差及標(biāo)準(zhǔn)差；In1：=<<Statistics'DescriptiveStatistics'In2：=data=TableRandomInteger,1,20,60;In3:=SampleRangedataOut3=19In4:=MediandataOut4=11In5:=MeandataOut5=22120In6:=Out6=VarianceMLEdata

8、44017In7:=1200StandarDevarianceMLEdata44017Out7=3202、對(duì)以上數(shù)據(jù)繪制樣本頻率分布直方圖;In8:=In9:=<<Graphics'Graphics'HistogramdataOut9=-Graphics-Inl0：=Histogramdata,Ticks->IntervalCenters,HistogramScale->1Out10=-Graphics-In11:=Histogramdata,Ticks->IntervalBoundaries,Out11=-Graphics-3、data1=1,3

9、,4,5,3.5,3,data2=3,2,5,3,在同一圖表中繪制datal和data2的條形圖,并作一定的修飾。In12:=Out12=In13:=BarChart1,3,4,5,3.5,3,3,2,5,3,BarSpacing->0.7,BarGroupSpacing->0.5,BarStyle->BGBColor1,0,0,BGBColor0,1,0.2,BarEdgeStyle->Dashing.01,BGBColor0,0,1,GrayLevel0,BarLabels->"Apr","May","Jun","Jul","A