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QUESTION

f(x,y) = (30/17) x^2 y , 0x1, xy2, zero otherwise Let U=X and V= X * Y Find the joint probability density function of (U,V), Sketch the support

f(x,y) = (30/17) x^2 y , 0<x<1, x<y<2, zero otherwise

Let U=X and V= X * Y

Find the joint probability density function of (U,V), Sketch the support of (U,V) and Use this, find the probability density function of V=X * Y, f(v)

To find the pdf let us assume W=X+Y
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