Problem 1: The joint probability mass function of X and Y, p(x,y), is given by: p(1, 1) = 1 9 p(2, 1) = 1 3 p(3, 1) = 1 9 (1) p(1, 2) = 1 9 p(2, 2) = 0 p(3, 2) = 1 18 (2) p(1, 3) = 0 p(2, 3) = 1 6 p(3, 3) = 1 9 (3) (4) Compute E[X|Y = i] for i = 1,2,3.

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A: The following solution is provided below:

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