Question: 1. 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

1. 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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