Would you please explain me in detail step by step thanks!

1. Suppose that the joint pmf of the rvs X, Y is pxy (0, 0) = a, pxy (0, 1) = b, pxy(1,0) = c, pxy (1, 1) = d. (a) Calculate the conditional pmf of X given Y = 1, and express your answer in terms of a, b and c. (b) Calculate E[Y X = 0], and express your answer in terms of a, b and c. (c) Suppose that PxY (0, 0) = 0.25, px (0) = py (0) = 0.5. Determine whether or not X and Y are independent