Question: Problem 6. (12 marks in total) Consider a system with two servers, where the mean arrival rate is 0.75 per minute, and the average service

Problem 6. (12 marks in total) Consider a system

Problem 6. (12 marks in total) Consider a system with two servers, where the mean arrival rate is 0.75 per minute, and the average service time is 1.8 minutes. If both servers are busy, arriving units join a single line to wait for service. If the average waiting time in the line is 1.6 minutes, (a) (3 marks) on average, how much time a customer waits in the system? (b) (3 marks) what is the average length of the queue? (c) (3 marks) what is the average number of customers in the system? (d) (3 marks) what fraction of the time is the system empty

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