An Introduction to Management Science 13th Edition by David Anderson,Dennis Sweeney ,Thomas Williams ,Jeffrey Camm, Kipp Martin

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Patients arrive at a dentist's office with an arrival rate of 2.8 patients per hour. The dentist can treat patients at a service rate of 3 patients per hour. A study of patient of waiting times shows that a patient waits an average of 30 minutes be ore seeing the dentist.
a. What are the arrival and service rates in terms of patients per minute?
b. What is the average number of patients in the waiting room?
c. If a patient arrives at 10:10 a.m. , at what time is the patent expected to leave the office?