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1. The joint PDF of two random variables are given in the following table a) (0.3 points) Are X and Y independent? Explain. b) (0.3 point) Find E(X) c) (0.3 points) Find E(Y) d) (0.4 points) Find E(max(X, Y)) e) (0.4 points) Calculate P(X Y). ) (0.5 points) Calculate covariance of X and Y g) (0.5 points) Calculate correlation coefficient of X and Y 0 0.32 0.48 10.080.12

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