Question

Customers arrive at Paul Harrold¡¯s styling shop at a rate of 3 per hour, distributed in a Poisson fashion. Paul a 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.

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