Question: (2) (10 points) X and Y are two discrete random variables following the joint distribution below. X 1 2 Y 3 -1 0.2 0.1 0

(2) (10 points) X and Y are two discrete random variables following the joint distribution below. X 1 2 Y 3 -1 0.2 0.1 0 0 0.1 0 0.3 0.1 0.1 0.1 (a) (3 points) Compute the marginal pmf for X and Y, respectively. (b) (4 points) Find E(X), E(Y), Var(X), Var(Y). (c) (3 points) Find Cov(X, Y) and correlation coefficient p. (Keep the square root in your expression. You need not compute it.)

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