Customers arrive at a barber shop according to a Poisson process at a rate of 8 per hour. Each customer requires 10 minutes on average. The barber shop has four chairs and a single barber. A customer does not wait if all chairs are occupied. Assuming an exponential distribution for service times, a. compute the expected time an entering customer spends in the barber shop. b. Suppose the barber charges $12 for service. Compute the long-run rate of revenue for the barber. (Hint: What fraction of the arriving customers enter?)

Customers arrive at a barber shop according to a Poisson process at a rate of 8 per hour. Each customer requires 10 minutes on average. The barber shop has four chairs and a single barber. A customer does not wait if all chairs are occupied. Assuming an exponential distribution for service times, a. compute the expected time an entering customer spends in the barber shop. b. Suppose the barber charges $12 for service. Compute the long-run rate of revenue for the barber. (Hint: What fraction of the arriving customers enter?)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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