Question: Problem # 6 (a=5, b=8, total=13 points) An imaging centre has a scanning machine that does the medical test in 10 minutes. The mean interarrival

Problem # 6 (a=5, b=8, total=13 points) An

Problem # 6 (a=5, b=8, total=13 points) An imaging centre has a scanning machine that does the medical test in 10 minutes. The mean interarrival times of patients is 15 minutes (exponentially distributed). a) What is the expected number of patients waiting in queue for a test? b) A new scanning machine can scan the patients better and faster, what test time (service time) would reduce the average wait time in queue of a patient to 5 minutes? Hint: suppose the test time is equal x. Introduce x in the appropriate equation and find its value

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