if x and y are independent random variable such that

f(x)= 1/pi(1+x^2) for |x|<1

and

g(y)=ye^{-y^2/2}, y>0

find the joint density function z and w where z=xy and w=x.

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- June 14th 2012, 10:21 PMsaravananbsjoint density function
if x and y are independent random variable such that

f(x)= 1/pi(1+x^2) for |x|<1

and

g(y)=ye^{-y^2/2}, y>0

find the joint density function z and w where z=xy and w=x.