Question: - (25 points] Consider a queueing system with one server and infinite capacity. Suppose the arrival rate at the queue is exactly 36 customers per

- (25 points] Consider a queueing system with one

- (25 points] Consider a queueing system with one server and infinite capacity. Suppose the arrival rate at the queue is exactly 36 customers per hour, there are 9 customers on average in the system at any given time, and it takes an average of 1.5 minutes to serve a customer (service times are exponentially distributed). a) Write the Kendall notation for this problem. b) What is the service rate? (Use minutes as the time unit) c) What is the service rate? (Use hours as the time unit) d) On average, how many customers arrive to the queue each minute? e) How would the Kendall notation change if the system could have at most 9 customers wait while the server helps another customer

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