Question: Please explain how to do it, thank you! 3. Matthew from the Employee Health and Wellbeing Center of University Bravos, is providing flu shots for

Please explain how to do it, thank you! 3.

Please explain how to do it, thank you!

3. Matthew from the Employee Health and Wellbeing Center of University Bravos, is providing flu shots for employees and students. It takes, on average, 5 minutes for a nurse to vaccinate a patient. The vaccination time is exponentially distributed. Employees and students will arrive independently and randomly throughout the day at a rate of one every 8 minutes according to a Poisson distribution. Compute the following: a) The probability that Matthew is idle. b) The proportion of the time that Matthew is busy. c) The average number of patients being vaccinated and waiting to be vaccinated. d) The average number of patients waiting to be vaccinated. e) The average time a patient waits before getting vaccinated. f) The average amount of time a patient spends waiting in line and being vaccinated

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