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

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

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

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