2. (25 points) For an M/M/1 queue with mean arrival rate of 5 customers per hour and a service rate of 10 customers per hour, answer the following questions: a. What is the expected number of customers in the system? b. What is the expected number of customers in the queue? c. What is the probability that an arriving customer finds the system idle? d. Find the average time that the average customer spends in the system?
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5 Now, we can find L: L = 0.5 / (1 - 0.5) = 0.5 / 0.5 = 1 customer So, the expected number of customers in the system is 1. b. Show moreā¦
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