Problem 2. A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of a day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. The joint pmf of X1 and X, is given in the following table. X2 1 2 3 0 0.08 0.07 0.04 0.00 1 0.06 0.15 0.05 0.04 X1 2 0.05 0.04 0.10 0.06 3 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 (1). What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line? (2). What is P(X1 = X2), that is, the probability that the number of customers in the two lines are identical? (3). Let A denote the event that there are at least two more customers in one line than in the other line. What is the probability of event A?

Problem 2. A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of a day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. The joint pmf of X1 and X, is given in the following table. X2 1 2 3 0 0.08 0.07 0.04 0.00 1 0.06 0.15 0.05 0.04 X1 2 0.05 0.04 0.10 0.06 3 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 (1). What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line? (2). What is P(X1 = X2), that is, the probability that the number of customers in the two lines are identical? (3). Let A denote the event that there are at least two more customers in one line than in the other line. What is the probability of event A?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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