(a) Let the joint probability density function of two random variables X and Y be 1 f(x, y) = xe-x(1+y) for x ≥ 0, y 20 otherwise. 0 (i) Find the marginal probability density function of X, fx(x). (ii) Find the marginal probability density function of Y, fr(v). (iii) Find P[(X>1)U(Y> 1)].

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