Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/…

Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/…

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Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/

min (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collects tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue, the average time spent in the system, and the average waiting time in the queue?