Vehicles arrive at a toll booth with a mean arrival rate of 2 vehicle per minute (the time between arrivals is exponentially distributed).?

Vehicles arrive at a toll booth with a mean arrival rate of 2 vehicle per minute (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collect tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue (in vehicles), time spent... show more Vehicles arrive at a toll booth with a mean arrival rate of 2 vehicle per minute (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collect tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue?
2 answers 2