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It takes an average of 8 minutes for the doctor to process a patient (e.g., measure vitals, perform tests, etc), with a standard deviation of

It takes an average of 8 minutes for the doctor to process a patient (e.g., measure vitals, perform tests, etc), with a standard deviation of 4 minutes.The clinic schedules the patients so that exactly one patient arrives every x minutes (i.e., no variability in inter-arrival times), where x is yet to be determined. On one hand, the clinic wants at most 5 people in the waiting room, on average. On the other hand, the clinic does not want to spread patients too far apart. What is the smallest x such that the average number of patients in the waiting room is at most 5

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