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Assume that a single-server queueing system has a Poisson interarrival process with a rate of 20 customers per hour (i.e., the interarrival time follows

Assume that a single-server queueing system has a Poisson interarrival process with a rate of 20 customers

Assume that a single-server queueing system has a Poisson interarrival process with a rate of 20 customers per hour (i.e., the interarrival time follows an exponential distribution). Also, assume that the service time is exponential with at a rate of 25 customers per hour. Answer the following questions to 3 significant digits: (1) What is the expected utilization of the server? (2) What is the long-run time average of number of customers in the system? (3) Using Little's law, use the answer from part (2) to calculate the average time in system.

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