Question: CVS is offering walk-in COVID-19 testing using a single server system. Due to social distancing, only 1 patient is allowed to wait to be tested,

CVS is offering walk-in COVID-19 testing using a single server system. Due to social distancing, only 1 patient is allowed to wait to be tested, any others arriving must leave. Patients arrive at this clinic following a Poisson distribution with mean of 5 per hour. Once a patient is seen by the pharmacist, the test takes an average of 10 minutes to complete, following an exponential distribution. (15 points) (a) What is the likelihood that a patient does not need to leave upon arrival? (b) What is the average number of patients waiting in queue? (c) This clinic conducts COVID-19 tests for 8 hours per day. How many tests will they perform on average each day?

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