matlab数理统计例题

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1、1.求∏的近似值：对下列图建立计算机模拟模型，并计算∏的近似值；ｘ2+ｙ2=11.实验程序Functiontlpi%disp(’’);Clear;clc;N=input(‘请输入模拟随机点数：‘)；Mi=0;X=rand(2,n);Fori=1:1:nIf(x(1,i)∧2+x(2,i)∧2)＜=1Mi=mi+1;End;End;Disp(strcat(‘pi=’,num2str(4*mi/n)));程序运行结果：请输入模拟随机点数：1000000Pi=3.14152.设r.v.X~N（0,1），用计算机来模拟容量n=200的子样，并画出子样直方图和经验分布函数，并作正态分布的假设检验。程序

2、代码：x=normrnd(0,1,1,200);disp(x);histfit(x);title('r.v.X～N（0,1）的子样，n=200');%进行正态分布的假设检验h=jbtest(x);ifh==0disp('检验结果：接受H0，即认为母体X的分布为正态分布。');elsedisp('检验结果：拒绝H0，即认为母体X的分布不为正态分布。');end实验结果：Columns1through102.63391.24810.33050.1003-2.10051.1459-0.1459-0.14830.28350.0098Columns11through201.77600.35681.08

3、90-1.25160.1421-0.75800.0522-0.33551.47580.6184Columns21through300.80230.4382-1.25130.75032.62460.83420.8570-0.27541.9820-0.7954Columns31through400.6552-2.7659-0.9190-0.39891.23940.49212.0563-1.52980.3965-0.3391Columns41through50-0.65281.31872.0260-0.2819-2.3599-0.68221.8487-0.32840.1119-0.2097Colu

4、mns51through60-2.28640.30661.5574-0.65950.1251-0.43130.75832.0325-1.50390.6782Columns61through700.2896-1.05110.50990.7738-1.09490.0018-0.2396-0.59172.3150-0.2251Columns71through80-0.70330.7618-0.7388-1.08390.96631.26350.3670-0.2249-0.2677-0.6903Columns81through900.44650.74291.2645-2.1291-2.0452-0.6

5、1700.1889-1.1256-0.49620.8256Columns91through1000.3461-0.6329-0.47190.36562.48091.08320.87920.3220-0.9326-1.0902Columns101through110-1.5519-1.26750.9666-0.04140.2991-0.4729-0.8793-0.1666-0.28470.0671Columns111through120-0.1349-0.22050.97200.0754-0.5306-1.12890.88640.6080-2.53540.0597Columns121throu

6、gh130-0.39450.27040.5442-0.7771-0.3726-1.83020.1689-0.63601.17900.5008Columns131through140-1.1736-1.24590.6323-1.75180.0445-0.77082.2329-0.09551.1385-0.6478Columns141through150-0.6545-0.58160.2796-1.9454-1.33040.7644-1.0927-0.2109-0.27010.5132Columns151through160-1.6118-0.2717-0.79580.3087-0.15610.

7、42360.76800.0751-0.78881.1572Columns161through170-0.23050.59881.8641-1.9176-1.21551.2920-1.1788-0.06860.23610.8428Columns171through180-1.04190.6911-1.1226-1.3888-0.0844-0.5329-1.01750.2501-0.53341.0159Colum