设二维随机变量(X,Y)的联合概率密度为 f(x,y)={cx^2y 0

问题描述:

设二维随机变量(X,Y)的联合概率密度为 f(x,y)={cx^2y 0

(1)F(X,Y)=f(0,1)f(01)cx^2ydydx=c/2f(0,1)x^2dx=c/6x^3(0,1)=c/6=1
c=6
(2)P{X