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) 1. What is the probability that the clinic is empty (except for the dentist)? 2. What is the average number of patients in the waiting room? 3. What is the average time (in minutes) a patient spends in the office (wait plus service)? 4. What is the probability that the clinic has exactly two patients?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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)
1. What is the probability that the clinic is empty (except
for the dentist)?
2. What is the average number of patients in the waiting
room?
3. What is the average time (in minutes) a patient spends in
the office (wait plus service)?
4. What is the probability that the clinic has exactly two
patients?
Transcribed Image Text: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) 1. What is the probability that the clinic is empty (except for the dentist)? 2. What is the average number of patients in the waiting room? 3. What is the average time (in minutes) a patient spends in the office (wait plus service)? 4. What is the probability that the clinic has exactly two patients?
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