From historical data, Harry’s Car Wash estimates that dirty cars arrive at a rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at a rate of one every five minutes. One car at a time is cleaned in this example of a single-server waiting line. Assuming Poisson arrivals and exponential service times, find the
(a) average number of cars in line
(b) average time a car waits before it is washed
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(c) average time a car spends in the service system
(d) utilization rate of the car wash
(e) probability that no cars are in the system