1. Potential customers arrive at a full-service, two-pump gas station according to a Poisson process with rate 20 cars per hour. However, customers will only enter the station for gas if there are less than three cars at the two pumps. Suppose the amount of time required to service a car is exponentially distributed with a mean of five minutes.
(a) What fraction of the attendant’s time will be spent servicing cars?
(b) What fraction of potential customers are lost?
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