What is the average time that a vehicle musht wait to get


At the California border inspection station, wehicles arrive at the rate of 7 per minute in a Poisson distribution. For simplicity in this problem, assume that there is only on e lane and one inspector, who can inspect vehicles at the rate of 11 per minutes in an exponentially distributed fashion. A) What is the average lenght of the waiting line? B) What is the average time that a vehicle musht wait to get through the system? C) What is the utilization of the inspector? D) What is the probability that when you arrive there will be three or more vehicle ahead of you?

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