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Moore, Aiken, and Payne is a critical-care dental clinic serving the emergency needs of the general...

Moore, Aiken, and Payne is a critical-care dental clinic serving the emergency needs of the general public on a first-come, first-served basis. The clinic has four dental chairs, three of which
are currently staffed by a dentist. Patients in distress arrive at the rate of five per hour, according to a Poisson distribution, and do not balk or renege. The average time required for an emergency treatment is 30 minutes, and has an exponential distribution.
a. What is the probability that one patient is in the clinic?
b. What is the probability that five or more patients are in the clinic?
c. What is the average number of patients waiting?
d. On average, what is the total time that a patient spends in the clinic?

Math   Statistics-And-Probability   
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