A clinic has only one dentist. During working days, the traffic is uniformly busy with patients arriving at the rate of 8 patients per hour. The doctor’s service time is 3 minutes. (Please keep three digits after the decimal and do not omit 0 before the decimal, good example: 0.132)What is the probability that the clinic is empty (except for the dentist)? What is the average number of patients in the waiting room? What is the average time (in minutes) a patient spends in the office (wait plus service)? What is the probability that the clinic has exactly two patients?

Arrival Rate (λ) = 8 patients per hourService Rate (μ) = 3 minutes = 60 min/3 = 20 patients per hour

Answered: A clinic has only one dentist. During…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A clinic has only one dentist. During working days, the traffic is uniformly busy with patients arriving at the rate of 8 patients per hour. The doctor’s service time is 3 minutes. (Please keep three digits after the decimal and do not omit 0 before the decimal, good example: 0.132)

What is the probability that the clinic is empty (except for the dentist)?
What is the average number of patients in the waiting room?
What is the average time (in minutes) a patient spends in the office (wait plus service)?
What is the probability that the clinic has exactly two patients?

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