9. Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers perhour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals andexponential service times model to answer the following questions:a. What is the probability that no units are in the system?b. What is the probability that one customer is receiving a haircut and no one is waiting?What is the probability that one customer is receiving a haircut and one customer iswaiting?C.d. What is the probability that one customer is receiving a haircut and two customers arewaiting?e. What is the probability that more than two customers are waiting?f. What is the average time a customer waits for service?

Given data: Arrival rate (λ) = 2.2 customers per hour Service rate (μ) = 5 per hour.

Answered: 9. Marty's Barber Shop has one barber.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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