Let ? = {a, b, c, d, e}. Consider three r.v.: a) r.v. X : X(a) = 1, X(b) = 1, X(c) = 1, X(d) = 2, X(e) = 2 b) r.v. Y: Y(a) = 2, Y(b) = 2, Y(c) = 0, Y(d) = 3, Y(d) = 3 c) r.v. Z: Z(a) = 1, Z(b) = 2, Z(c) = 1, Z(d) = 2, Z(e) = -1 The probability P is given by 1 P(a) = P(b) = CHINO 10 P(c) = 10 P(d) = P(e) = 10 and the probability of all other sets is the sum of the probabilities in the set. For example, P(a, b) = P(a) + P(b), etc. Solve the following questions: a) (2 p. ) Calculate EXZ | Y] XZ is a r.v. W, W(w) = X (w)Z(w) fo all wen