(Solution) - The Minute Stop Market has one pump for gasoline which -(2025 Original AI-Free Solution)

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The Minute Stop Market has one pump for gasoline, which can service 10 customers per hour (Poisson distributed). Cars arrive at the pump at a rate of 5 per hour (Poisson distributed).
a. Determine the average queue length, the average time a car is in the system, and the average time a car must wait.
b. If, during the period from 4:00 P.M. to 5:00 P.M., the arrival rate increases to 12 cars per hour, what will be the effect on the average queue length?