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

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

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