[Solved] A certain market has both an express checkout line and a super express checkout line

A certain market has both an express checkout line and a super express checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day and let X2 denote the number of customers in line at the super express checkout at the same time. Suppose the joint pmf of Xi and X2 is as given in the accompanying table. 0 1 0 0.08 0.05 0.05 0.01 0.00 X2 1 2 0.07 0.04 0.15 0.5 0.04 0.10 0.04 0.04 0.01 0.05 3 0.00 0.04 0.06 0.07 0.05 X 2 3 4 (c) What is the marginal distribution of X ? (d) Are X, and X, independent? Support your answer. (e) Find the conditional distribution of X, given that X, = 3: P(X21X, = 3).

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