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Multi server queuing model

Cars arrive at a toll plaza at the rate of 60 cars per hour. There are four booths each capable of serving 30 cars per hour. Assuming a Poisson distribution for arrivals and a exponential distribution for the service time, determine (a) the probability of no cars in the toll plaza, (b) the average length of the line, and (c) THE AVERAGE TIME SPENT BY A CAR IN THE PLAZA.

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This posting contains solution to following problem on multiserver queuing model.