设二维随机变量(X,Y)的概率密度为f(x,y)={kxy,0f(x,y)={kxy,0

问题描述:

设二维随机变量(X,Y)的概率密度为f(x,y)={kxy,0
f(x,y)={kxy,0

(1)求定积分使之为1,求的k=1/4
(2)fx(x)=)=∫kxydy=1/2x,fy(y)=)=∫kxydx=1/2y
(3)P(X<Y)=∫∫kxydydx=1/2 1/2

(1)将kxy在0