Question: Suppose X and Y are continuous random variables with joint pdf f(x, y) = 2(x + y) if 0 < x < y < 1

Suppose X and Y are continuous random variables with joint pdf f(x, y) = 2(x + y) if 0 < x < y < 1 and zero otherwise.

(a) Find the joint pdf of the variables S = X and T = XY.

(b) Find the marginal pdf of T.

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