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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
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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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 X2 is given in the following table. X2 1 2 3 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?
Transcribed Image Text: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 X2 is given in the following table. X2 1 2 3 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?
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