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3 Question 1 (20 points = 10 + 5 + 5). The joint probability mass function of X and Y is given by Px,Y (1, 1 ) = PX,Y (1, 2) = Px,Y (2, 1) = 00 | H PX,Y ( 2, 2) = a) Compute the conditional probability mass function of X given Y = y, where y = 1, 2. b) Are X and Y independent? c) Compute P(XY