A renowned healthcare provider, Mediclinic, has a branch in Marina, Dubai. The clinic remains open for 8 hours a day. At present, three doctors are available to attend arriving patients. Each doctor can serve 32 patients per day (exponentially distributed); whereas an average of 90 patients arrive to the clinic daily.
a. Determine the average waiting time of patients in minutes.
b. How many more doctors should the clinic must hire to keep the patients’ waiting time to less than 10 minutes?