Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/ min (the time between arrivals is exponentially distributed)..

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?

Q. Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/ min (the time between arrivals i s exponentiallydistributed). The toll booth operator processes vehicles (collects tolls) at a…