If X and Y are discrete random variables with joint pdf f(x, y) = c (2ˣ⁺ʸ) / (/x! y!) x = 0, 1, 2.. .; y = 0, 1, 2, .. ., and zero otherwise. (a) Find the constant c. (b) Find the marginal pdf's of X and Y.
(c) Are X and Y independent? Why or why not?