A 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 day, and let X₂ denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X₁ and X₂ is as given in the accompanying table. X1 b. 0 1 2 3 4 0 .08 .06 .05 .00 .00 1 .07 .15 .04 .03 .01 x2 2 .04 .05 .10 .04 .05 3 .00 .04 .06 .07 .06 a. What is P(X₁ = 2 and X₂ = 2), that is the probability that there is exactly one customer in each line? What is P(X₁ = X₂), 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 customers in one line than in the other line. Express A in terms of X₁ and X2, and calculate the probability of event A, that is P(A).

A 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 day, and let X₂ denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X₁ and X₂ is as given in the accompanying table. X1 b. 0 1 2 3 4 0 .08 .06 .05 .00 .00 1 .07 .15 .04 .03 .01 x2 2 .04 .05 .10 .04 .05 3 .00 .04 .06 .07 .06 a. What is P(X₁ = 2 and X₂ = 2), that is the probability that there is exactly one customer in each line? What is P(X₁ = X₂), 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 customers in one line than in the other line. Express A in terms of X₁ and X2, and calculate the probability of event A, that is P(A).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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