A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with

Question:

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 represents 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 pX (x) and pY (y).
c. Find μX and μY.
d. Find μXY.
e. Find Cov (X,Y).