A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the second card is drawn. Let X represent the number on the first card, and...

A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the second card is drawn. Let X represent the number on the first card, and let Y represent the number on the second card. a) Find the joint probability mass function of X and Y. b) Find the marginal probability mass functions p_X(x) and p_Y(y). c) Find µ_X
and µ_Y. d) Find µ_XY. e) Find Cov(X,Y).