概率论与数理统计实验报告

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1、概率论与数理统计实验报告otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeof

2、theFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand题目1：n个人中至少有两人生日相同的概率是多少？通过计算机模拟此结果。问题分析：n个人生日的组合为a=n365，n个人中没有生日相同的组合为b=365*364*......*(365-n+1),则n个人中至少有两个人生日相同的概率为1-b/a。

3、编程：n=input('请输入总人数n=');a=365^n;m=n-1;b=1;fori=0:1:mb=b*(365-i);endf=1-b/a输出结果：（令n=50）结果分析：当人数为50人时，输出结果为0.9704，此即说明50人中至少有两人生日相同的概率为0.9704。题目2：设x~N(μ,σ2)，（1）当μ=1.5，σ=0.5时，求p｛1.8

4、。编程：otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFeder

5、ationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersandx1=[1.8,2.9];x2=-2.5;x3=[0.1,3.3];p1=cdf('Normal',x1,1.5,0.5);p2=cdf('Normal',x2,1.5,0.5);p3=cdf('Normal',x3,1.5,0.5);f1=p1(2)-p1(

6、1)f2=1-p2f3=1-p3(2)+p3(1)%2(1)x=icdf('Normal',0.95,0,1)%2(2)x=[-4:0.05:10];y1=pdf('Normal',x,1,0.5);y2=pdf('Normal',x,2,0.5);y3=pdf('Normal',x,3,0.5);y4=pdf('Normal',x,4,0.5);plot(x,y1,'K-',x,y2,'K--',x,y3,'*',x,y4,'+')输出结果：f1=0.2717f2=1.0000f3=0.0027x=1.6449（右图为概率密度函数图像）题目3：已知每百份报纸全部卖出可

7、获利14元，卖不出去将赔8元，设报纸的需求量的分布律为试确定报纸的最佳购进量。（要求使用计算机模拟）问题分析：由题意知卖出百份可赚14元而卖不出的一百份会赔8元，所以购进整百份报纸比较划算。设X（k）为购进k百张报纸后赚得的钱，分别计算E（X（k））（k=0,1,2,3,4,5），由此得到当k=3时，E（X（k））最大，故最佳购进量为300。下面用计算机模拟该过程。编程：T=[];fork=0:5;s=0;forn=1:3000;x=rand(1,1);ifx<=0.05;y=0;otherstaffoftheCentre.Duringt