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# Queuing Theory

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Marty's Barber Shop has one barber. Customers have an arrival 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?
e). What is the probability that more more than two customers are waiting ?
f). What is the average time a customer waits for service?

https://brainmass.com/statistics/probability/queuing-theory-single-channel-waiting-line-model-269397

#### Solution Preview

Marty's Barber Shop has one barber. Customers have an arrival 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 ...

#### Solution Summary

The probabilities in queuing theory are calculated. The average time a customer waits for service are determined.

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