Customers arrive for service at Sue's Service Station, a single-pump full service gas station in Hamlet, Ohio at an average rate of 3 per hour according to a Poisson distribution, and are served at an average rate of 5 per hour, with exponentially distributed service times. Assume initially that the standard assumptions of the single-server waiting line model are appropriate.
What is the average time a customer spends at the gas station, including service?
What is the average number of cars at the station, including those waiting and the car being served? State your answer to one decimal place.
What is the average utilization of the gas pump? State your answer to two decimal places.