Question 1 below. Two discrete random variables X and Y have a joint probability mass function given in the table X 2 3 PX, Y (x, y) = 0.2 1 0. 1 0.1 y 2 0.2 0.1 0.2 3 0.1 0.2 (a) Calculate the marginal probability mass functions px(x) and py(y) of X and Y. (b) Are the random variables X and Y independent? Justify your answer! (c) Calculate P (Y = 2 | Y > 2). (d) Calculate P ( Y