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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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9. Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per
hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and
exponential 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 is
waiting?
C.
d. What is the probability that one customer is receiving a haircut and two customers are
waiting?
e. What is the probability that more than two customers are waiting?
f. What is the average time a customer waits for service?
Transcribed Image Text:9. Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential 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 is waiting? C. d. What is the probability that one customer is receiving a haircut and two customers are waiting? e. What is the probability that more than two customers are waiting? f. What is the average time a customer waits for service?
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