??,??=(0,0.1)
2>> x=-10:1:10;
>> p=normpdf(x,0,sqrt(0.1)); >> plot(x,p); >> figure(2);
>> cp=normcdf(x,0, sqrt(0.1)); >> plot(x,cp);
??,??=(0,1)
2>> x=-10:1:10; >> p=normpdf(x,0,1); >> plot(x,p); >> figure(2);
>> cp=normcdf(x,0,1); >> plot(x,cp);
??,??=(0,10)
2>> x=-10:1:10;
>> p=normpdf(x,0,sqrt(10)); >> plot(x,p); >> figure(2);
>> cp=normcdf(x,0,sqrt(10)); >> plot(x,cp);
??,??=(1,1)
2>> x=-10:1:10;
>> p=normpdf(x,1,1); >> plot(x,p); >> figure(2);
>> cp=normcdf(x,1,1); >> plot(x,cp);
Q14:游客乘电梯从底层到电视塔顶层观光,电梯于每个整点的第5分钟、25分钟和55分钟从底层起行。假设一游客在早上8点的第X分钟到达底层的侯梯处,且X在[0,60]上均匀分布,求该游客等候时间的数学期望。
0?X?5?5?X?5?X?25?25?X解:根据题目:Y?g(X)?? 求EY;
25?X?55?55?X?60?X?555?X?60? >> x1=0:1:5; p1=5-x1;
x2=6:1:25; p2=25-x2; x3=26:1:55; p3=55-x3; x4=56:1:60; p4=65-x4; y1=sum(p1); y2=sum(p2); y3=sum(p3);
y4=sum(p4);
EY=(y1+y2+y3+y4)/60 EY =
11.2500