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Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0...

Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0 < x < < y < 1 and 0 otherwise. Find the marginal pdf of T if S=X and T = XY. Use the joint pdf of S = X and T = XY.

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