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 4-5 p.m., the arrival rate increases to 12 cars per hour, what will be the effect on the average queue length?