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From historical data, Nick's Auto Tinting estimates that cars arrive at the rate of 10 per hour, all day Saturday

Business Dec 23, 2021

From historical data, Nick's Auto Tinting estimates that cars arrive at the rate of 10 per hour, all day Saturday. With a crew working on tinting cars, Nick figures that cars can be tinted at the rate of one every 5 minutes. One car at a time is tinted in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find following: a. Average number of cars in line. b. Average time a car waits before it is tinted. c. Average time a car spends in the service system. d. Utilization rate of the work crew. e. Probability that no cars are in the system.

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