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 1. Average number of cars inline. 2. Average time a car waits before it is washed. 3. Average time a car spends in the service system. 4. Utilization rate of the car wash. 5. Probability that no cars are in the system.
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