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Suppose that two random variables X1 and X2 have a continuous joint distribution for which the joint p.d.f. is as follows:
f(x1,x2) = x1 + x2 for 0 < x1 < 1 and 0 < x2 < 1,
(and 0 otherwise)
Find the p.d.f. of Y = X1 * X2
If anyone could help, it would be greatly appreciated!
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