- John, James, and Jonathan 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 check-up is 30 minutes, according to an exponential
distribution.
- What is the probability that no patients are in the
clinic?
- What is the probability that six or more patients are in the
clinic?
- What is the average number of patients waiting?
What is the average total time that a patient spends in the
clinic