Refer to Exercise 31. Assume the first card is not replaced before the second card is drawn.

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Refer to Exercise 31. Assume the first card is not replaced before the second card is drawn.

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 ).

Refer to Exercise 31.

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.

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