Question 2 (30 points): Joint Continous Random Variables The random variables X and Y have the following joint distributions. fXY (x, y) = kxy for 0 ≤ x, y ≤ 1, and y ≤ x 2 Determine: (a) (5 Pts.) k. (b) (5 Pts.) the marginal PDF’s. Then verify that marginal PDFs are valid. (c) (5 Pts.) the joint CDF. (d) (5 Pts.) From joint CDF obtain the marginal CDFs. Then obtain marginal CDFs from marginal PDFs and verify that they are the same. (e) (5 Pts.) Cov(X, Y ). (f) (5 Pts.) With the help of joint distribution region, determine P(Y ≤ e −X).