At a service station customers arrive in a Poisson Distribution fashion with an average time of 5 min between arrivals. The interval between services at the station follows exponential pattern and…

At a service station customers arrive in a Poisson Distribution fashion with an average time of 5 min between arrivals. The interval between services at the station follows exponential pattern and the mean time for the purpose comes to 2 minutes. In the light of the above information, determine: a. the average number of customers in queue. b. the time spent by a customer in the queue.