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?
c. 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?
f. What is the average time a customer waits for service?
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Answer:
(f) On average, retail consumers believe that 5 to 10 minutes is the maximum acceptable amount of time that they are prepared to wait in a line. If a line appears to be too long, or the time limit has been exceeded, most customers will make the decision to put their purchases back and walk out the door.
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Answer:
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