A market has both an express checkout line and a superexpress checkout line. LetX₁ denote the number of customers in line at the express checkout at a particular time ofday, and let X₂ denote the number of customers in line at the superexpress checkout at thesame time. Suppose the joint pmf of X₁ and X₂ is as given in the accompanying table.X101234b.0.08.06.05.00.001.07.15.04.03.01X22.04.05.10.04.053.00.04.06.07.06a. What is P(X₁ = 2 and X₂ = 2), that is the probability that there is exactly one customerin each line?What is P(X₁ = X₂), that is, the probability that the numbers of customers in the twolines are identical?c.Let A denote the event that there are at least two more customers in one line than in theother line. Express A in terms of X₁ and X2, and calculate the probability of event A,that is P(A).d.Determine the marginal pmf of X₁, and then calculate the expected number ofcustomers in line at the express checkout.e. Determine the marginal pmd of X2.f. Are X₁ and X₂ independent random variables? Explain.

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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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