probability

From historical data, Harry’s Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned in this example of a single-channel 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

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

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