Question: Problem 5.64 Let X, Y have the joint pdf f(x, y) = 6 7 (x + y)2, 0 x 1, 0 y

Problem 5.64 Let X, Y have the joint pdf f(x, y) = 6 7 (x + y)2, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, f(x, y)=0,elsewhere. By integrating over an appropriate region compute the following probabilities:

(a) P(X + Y ≤ 1).

(b) P(Y >X).

(c) Compute the marginal pdfs: fX(x) and fY (y).

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