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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?

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    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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