5.17. A point (X, Y) is selected at random inside a triangle defined by {(x, y): 0 ≤ y ≤ x ≤ 1}. Assume the point is equally likely to fall anywhere in the triangle. (a) Find the joint cdf of X and Y. (b) Find the marginal cdf of X and of Y. (c) Find the probabilities of the following events in terms of the joint cdf: A = {X ≤ 1/2, Y ≤ 3/4}; B = {1/4 < X ≤ 3/4, 1/4 < Y ≤ 3/4}.

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