Can you help me me with this question 3. A certain market has both an express checkout line and asuperexpress checkout line. Let X, denote the number ofcustomers in line at the express checkout at a particulartime of day, and let X, denote the number of customers inline at the superexpress checkout at the same time. Supposethe joint pmf of X, and X, is as given in the accompanyingtable.X21.08.07.04.001.06.15.05.042.05.04.10.06.00.00.03.04.074.01.05.06a. What is P(X = 1, X, = 1), that is, the probability thatthere is exactly one customer in each line?b. What is P(X, = X,), that is, the probability that the numbersof customers in the two lines are identical?c. Let A denote the event that there are at least two more cus-tomers in one line than in the other line. Express A interms of X, and X,, and calculate the probability of thisevent.

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3. A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. X2 1 .08 .07 .04 .00 1 .06 .15 .05 .04 2 .10 .05 .00 .00 .04 .03 .06 .04 3 4 .07 .01 .05 .06 a. What is P(X = 1, X = 1), 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 cus- tomers in one line than in the other line. Express A in terms of X, and X, and calculate the probability of this event. 2.

3. A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. X2 1 .08 .07 .04 .00 1 .06 .15 .05 .04 2 .10 .05 .00 .00 .04 .03 .06 .04 3 4 .07 .01 .05 .06 a. What is P(X = 1, X = 1), 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 cus- tomers in one line than in the other line. Express A in terms of X, and X, and calculate the probability of this event. 2.

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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