Question: An immigration agent at Ataturk airport in Istanbul, Turkey on the average could process 120 entrants during an 8 hours shift, if she was busy all the time. The number of arrivals is based on Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at her station once every six minutes.

1. Assume a single server waiting line system and determine the mean service time.
2. Assume a single server waiting line system and determine the mean service rate.
3. Assume a single server waiting line system and determine the mean arrival rate.
4. Assume a single server waiting line system and determine the expected number of entrants in the system.
5. Assume a single server waiting line system and determine the expected number of entrants in the waiting line.
6. Assume a single server waiting line system and determine the expected waiting time in the queue.
7. Assume a single server waiting line system and determine the expected waiting amount of time an entrant would spend getting served and waiting in line.

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