A certain market has both an express checkout line and a superexpress checkout line. Let Xıdenote the number of customers in line at the express checkout at a particular time of day, andlet X2 denote the number of customers in line at the superexpress checkout at the same time.Supposethe joint pmf of Xi and X2 is as given in the accompanying table.X213.08.07.0400X106150504205.04.01060003.04074.001010506a. What is P(X1= 1, Xz= 1), that is, the probability that there is exactly one customer in eachline?b. What is P((Xı=X2), that is, the probability that the numbers of customers in the two lines areidentical?c. Let A denote the event that there are at least two more customers in one line than in the otherline. Express A in terms of Xı and X2, and calculate the probability of this event.d. What is the probability that the total number of customers in the two lines is exactly four? Atleast four?

As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given :

a. What is P(Xi= 1, X2= 1), that is, the probability that there is exactly one customer in each line? b. What is P(Xı=X2), that is, the probability that the numbers of customers in the two lines are %3D 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 Xı and X2, and calculate the probability of this event.

a. What is P(Xi= 1, X2= 1), that is, the probability that there is exactly one customer in each line? b. What is P(Xı=X2), that is, the probability that the numbers of customers in the two lines are %3D 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 Xı and X2, and calculate the probability of this event.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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