Question: Q1. (20') The joint probability mass function of a bivariate random variable (X,Y) is given by PxY (Ti, yj ) k(2x, + y;) mi =

Q1. (20') The joint probability mass function of a bivariate random variable (X,Y) is given by PxY (Ti, yj ) k(2x, + y;) mi = 1,2; y; = 1, 2 otherwise (a) (6') Find the value of k. (b) (8') Find the marginal probability mass functions of X and Y, respectively. (c) (6') Are X and Y independent? Justify your solution

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