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9 8. Let the random variables X and Y have a joint PDF which is uniform over the triangle with vertices at (0, 0), (0, 1), and (1, 0). (a) 1 pt - Find the joint PDF of X and Y. (b) 1 pt - Find the marginal PDF of Y. (c) 1 pt - Find the conditional PDF of X given Y. (d) 1 pt - Find E[X|Y = y], and E[X]. (e) 1 pt - Use the iterative/total expectation theorem to find E[X] in terms of E[ Y]. Compute EX by the symmetry of the