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    utilization rate

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    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 five minutes. One car at a time is cleaned in this example of 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
    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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    Solution Summary

    Find the utilization rate and other factors in the case.