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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

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 are the super express checkout at the same time. suppose the joint pmfbof X1 and X2 is as given in the accompanying table

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04 a. What is P(X, = 1. X. = D). that is, the probability that there is exactly one customer in each line? b. What is P(X, = X,). that is. the probability that the numbers of customers in the two lines are identical? c. Let A denote the event that there are at least two more customers in one line than in the other line Express A in terms of X, and X,, and calculate the probability of this event. d. What is the probability that the total number of cus- tomers in the two lines is exactly four? At least four

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