Mathematics, 12.06.2020 00:57, nagwaelbadawi

Consider the set of points in the set C: C={(x, y)|x, y∈ℤ,x2+|y|≤2}. Suppose that we pick a point (X, Y) from this set completely at random. Thus, each point has a probability of 111 of being chosen. Find the joint and marginal PMFs of X and Y. Find the conditional PMF of X given Y=1. Are X and Y independent? Find E[XY2].

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Consider the set of points in the set C: C={(x, y)|x, y∈ℤ,x2+|y|≤2}. Suppose that we pick a point (X...