What is the probability that the shop is empty what is the, Supply Chain Management

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What is the probability that the shop is empty what is the

Barbershop is a popular ha campus of the Brooklyn College. One barber is available to work full time and spend an average of 4 minutes on each customer. Customers arrive all day long at an average rate of 5 minutes per customer. Arrivals tend to follow the Poisson distribution, and service times are exponentially distributed. Explain your results.

(a) What is the probability that the shop is empty?

(b) What is the average number of customers in the barbershop?

(d) What percentage of time the barber is busy?

(e) What is the average number of customers waiting to be served?

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