1. Two discrete r.v.s (15 points). Let X and Y be random variables specified by the joint pmf px y ( k, j ) = c . 2 k 2 (J -4); k = 0, 1, 2, . . . ; j = k, k+1, . ... (a) Find c. (b) Find px(k) and py(j). (c) Find pxy (k|j) and pyx (j|k). (d) Find the probability of the event that {Y 2 2X}