23.15 a barber runs a one-man shop. he does not make appointments but attends customers on a first-come,first-served basis. because of the barber's reputation, customers are willing to wait for service once theyarrive; arrivals follow a poisson pattern, with a mean arrival rate of two per hour. the barber's service timeappears to be exponentially distributed, with a mean of 20 min. determine (a) the expected number ofcustomers in the shop, (b) the expected number of customers waiting for service, (c) the average time acustomer spends in the shop, and (d) the probability that a customer will spend more than the averageamount of time in the shop.

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