Question
The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled
The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution that has a mean of 6 minutes. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution that has a mean of 10. Suppose there are 4 clerks at the counter. Use Table 18-4 in the text book
1 - On average, how many mechanics are waiting in line? (Round your answer to 3 decimals.)
2 - On average, how many mechanics would be at the counter, including those being served? (Round your answer to 3 decimals.)
3 - What is the average wait time for a mechanic? (Round your answer to 3 decimals.) hours
4 - If a mechanic has to wait, on average, how long will he have to wait for assistance? (Round your answer to 3 decimals.) hours
5 - What is the probability that a mechanic would have to wait for service? (Do not round intermediate calculations. Round your answer to 3 decimals.)
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