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Problem 1. The DMV employs 3 servers that serve customers in one line. Customers arrive according to a Poisson process, where the expectation of the

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Problem 1. The DMV employs 3 servers that serve customers in one line. Customers arrive according to a Poisson process, where the expectation of the inter-arrival times is 3 minutes, and customers don't abandon the queue. Service times are distributed exponentially, and service rate for each server is 8 customers per hour. Find W (average waiting time in the system), Wq (average waiting time in the queue), L (average number of customers in the system), and Lq (average number of customers in the queue). (20 points)

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