2. The joint PMF of a bivariate RV (X, Y ) is given by p(x, y) = k(2x + y), x = 1,2; y = 1,2 10, otherwise where k is a constant. Find (a) the value of k, (b) the marginal PMF's of X and Y. (c) Are X and Y independent? (d) Find the conditional PMF's Pyx(ylx) and Px y(xly) (e) Find P(Y = 2|X = 2) and P(X = 2 Y = 2)