Question: Consider a waiting line system with the arrival rate being 10 customers per hour and the service on a customer is 12 minutes on average.

Consider a waiting line system with the arrival rate being 10 customers per hour and the service on a customer is 12 minutes on average. Assume that both inter-arrival time and service time follow exponential distribution.

(a) Whats the arrival rate and service rate (customers per hour)? [10 pts] (b) What is the minimum number of servers that are required to ensure the customers average waiting time in queue is no more than 5 minutes? [10 pts] (c) What is the minimum number of servers that are required to ensure the average number of people in the system is no more than 4? [10 pts]

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