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 X and Y d Find XY 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

Question: 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

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 μ_X and μ_Y.

d. Find μ_XY.

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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