A dental clinic at which only one dentist works is open only two days a week. During those two days, patients arrive at the rate of three per hour. The doctor serves patients at the rate of one every 15 minutes
a. What is the probability that the clinic is empty (except for the dentist and staff)?
b. What percentage of the time is the dentist busy?
c. What is the average number of patients in the waiting room?
d. What is the average time a patient spends in the office (wait plus service)?
e. What is the average time a patient waits for service?
(a) Po = 1 - 3/4 = 0.25;
(b) The dentist is busy when the clinic is not empty, or 1 - .25 = 0.75 or 75 percent of the time;
(c) Lq = [3(3 )] / [4(4 - 3 )] = 2.25;
(d) Ws = 1 / (4 - 3 ) = 1 hour;
(e) Wq = 3 / [4(4 - 3 )] = 0.75 hours
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