Question: PX,Y(x, y) X = -1 X = 0 X = 1 Y = -1 0.2 0.1 0.2 Y = 0 0 0.3 0 Y

PX,Y(x, y) X = -1 X = 0 X = 1 Y

PX,Y(x, y) X = -1 X = 0 X = 1 Y = -1 0.2 0.1 0.2 Y = 0 0 0.3 0 Y = 1 0.1 0 0.1 4- The pmf of (X,Y) is given above. a. Find the marginal pmf of X and Y. b. Find Corr(X, Y), Cov(x, y), and correlation coefficient of (X, Y). c. Are X and Y independent? d. Are X and Y uncorrelated? e. Are X and Y orthogonal?

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