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Let X and Y have joint pdf f(x, y) = e y ; 0 < x < y < infinity and zero otherwise. (a) Find

Let X and Y have joint pdf f(x, y) = ey; 0 < x < y < infinity and zero otherwise.

(a) Find the joint pdf of S = X + Y and T = X.

(b) Find the marginal pdf of T.

(c) Find the marginal pdf of S.

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