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All Moore, Aiken, and Payne is a dental clinic serving the needs of the general public on a first-come, first- served basis. The clinic has

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Moore, Aiken, and Payne is a dental clinic serving the needs of the general public on a first-come, first- served basis. The clinic has three dental chairs, each staffed by a dentist. Patients arrive at the rate of five per hour, according to a Poisson distribution, and do not balk or renege. The average time required for a dental checkup is 30 minutes, according to an expo- nential distribution. a. What is the probability that no patients are in the clinic? b. What is the probability that six or more patients are in the clinic? c. What is the average number of patients waiting? d. What is the average total time that a patient spends in the clinic

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