Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray...

Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray machine and arriving patients form a single line that feeds the X-ray machine in a first-come-first-served order. Past data show that the average wait for a patient is 30 minutes. The service time in the process takes, on an average, 10 minutes, exponentially distributed. a)Average number of patients in the system b)Average number of patients in the queue c)Average time a patient spends in the system d)What is the arrival rate? e)Probability that the server is idle f)Probability that there is at least one patient in the system g)Probability that there are less than or equal to 3 patients in the system h)Probability that there are 3 patients in the system i)Probability that there are more than or equal to 2 but less than or equal to 3 patients in the system

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milcah answered 10 months ago

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