# Question

Customers arrive at Paul Harrold’s Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Paul can perform haircuts at a rate of 5 per hour, distributed exponentially.

a) Find the average number of customers waiting for haircuts.

b) Find the average number of customers in the shop.

c) Find the average time a customer waits until it is his or her turn.

d) Find the average time a customer spends in the shop.

e) Find the percentage of time that Paul is busy. "

a) Find the average number of customers waiting for haircuts.

b) Find the average number of customers in the shop.

c) Find the average time a customer waits until it is his or her turn.

d) Find the average time a customer spends in the shop.

e) Find the percentage of time that Paul is busy. "

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