设二维随机变量(x,y)概率密度函数为f(x,y)={1⼀6,0<x<3,0

2025-06-26 19:03:33
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回答1:

X的边缘密度函数f X(x)=积分(负无穷,正无穷)f(x,y)dy
=积分(负无穷,正无穷)1/6 dy
=积分(0,2)1/6 dy
=1/3
Y的边缘密度函数f Y(y)=积分(负无穷,正无穷)f(x,y)dx
=积分(0,3)1/6 dx
=1/2