Question: Given that X and Y are independent random variables, find the pdf of XY for the following two sets of marginal pdfs: (a) fX(x) =

Given that X and Y are independent random variables, find the pdf of XY for the following two sets of marginal pdfs:
(a) fX(x) = 1, 0 ≤ x ≤ 1, and fY(y) = 1, 0 ≤ y ≤ 1
(b) fX(x) = 2x, 0 ≤ x ≤ 1, and fY(y) = 2y, 0 ≤ y ≤ 1

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