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4. (50 points) Let the joint pmf of X and Y be defined by f ( x, y ) = xty x = 1, 2,

4. (50 points) Let the joint pmf of X and Y be defined by f ( x, y ) = xty x = 1, 2, 3, y = 1, 2. 21 (a) Find fx (x), the marginal pmf of X. (b) Find fy (y), the marginal pmf of Y. (c) Find the means My and My. (d) Find the covariance Cov(X, Y). (e) Find the correlation coefficient p given that ox = 0.7940, oy = 0.4949

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