Question: Problem # 7 (a=5, b=5, total=10 points) A regional hospital has a scanning machine that does the medical test in 10 minutes. The mean inter-arrival

Problem # 7 (a=5, b=5, total=10 points) A

Problem # 7 (a=5, b=5, total=10 points) A regional hospital has a scanning machine that does the medical test in 10 minutes. The mean inter-arrival times of patients is 15 minutes (exponentially distributed). a) What is the expected number of patients waiting in line for a test? b) If a new scanning machine can scan the patients better and faster, what test time would reduce the average waiting time of a patient to 5 minutes

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