At a parking lot, vehicles arrive according to a Poisson process and are processed (parking free collected)?

At a parking lot, vehicles arrive according to a Poisson process and are processed (parking free collected) at an exponentially distributed rate at a single station. The mean arrival rate is 4 vehicle-minute and the processing rate is 5 vehicle per minute. Determine the average length of queue (in vehicles), time... show more At a parking lot, vehicles arrive according to a Poisson process and are processed (parking free collected) at an exponentially distributed rate at a single station. The mean arrival rate is 4 vehicle-minute and the processing rate is 5 vehicle per minute. Determine the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue.
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