A box contains n marbles each of which is labeled (by engraving) by one of the integers 1, 2, . . . , n. Two of the marbles are drawn in succession without replacement. Let X and Y denote the integer shown on the first and second draw respectively.
(a) Find the PMF: p_(X,Y) (x, y) and verify the marginals.
(b) Let Z = max{X, Y }. Calculate the PMF p_Z (z)