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RentAPhone is a new service company that provides European mobile phones to American visitors in Europe. The company currently has 80 phones available at Charles de Gaulle Airport in Paris. There are, on average, 25 customers per day requesting a phone. These requests arrive uniformly throughout the 24 hours the store is open. The corresponding coefficient of variation is 1. On average, customers keep their phones for 72 hours. The standard deviation of this time is 100 hours.
What is the average number of telephones the company has in its store?
How many customers, on average, are waiting for a phone?
What is the average waiting time per customer if the company decides to limit all rentals to exactly 72 hours? Assume that if such a restriction is imposed, the number of customers requesting a phone will be reduced to 20 customers per day (everything else is kept the same as before).
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