设随机变量(X,Y)的概率密度为f(x,y)={3/8π(2-(x^2+y^2)^1/2,x^2+y^2=4,则(X,Y)落在圆域x^2+y^2

问题描述:

设随机变量(X,Y)的概率密度为f(x,y)={3/8π(2-(x^2+y^2)^1/2,x^2+y^2=4,则(X,Y)落在圆域x^2+y^2

f(x,y)=(3/(8π))(2-(x²+y²)^(1/2)),x²+y²