A) What Is The Standard Deviation Of The Time Spent With A Patient? B) What Is The Likelihood That The Physician Will Spend Less Than 35 Minutes With A Patient? C) A Patient Has An Appointment To See The Physician At 8AM On A Particular Day. When Should The Second Patient Be Scheduled So That There Is Only A 15% Chance S/he Will Have To Wait Before Before Being Seen By The Physician? [e.g. If The Appointment For The Second Patient Is 8:15AM, There Is A 100% Chance The Second Patient Will Have To Wait]

a) What is the standard deviation of the time spent with a patient? b) What is the likelihood that the physician will spend less than 35 minutes with a patient? c) A patient has an appointment to see the physician at 8AM on a particular day. When should the second patient be scheduled so that there is only a 15% chance s/he will have to wait before before being seen by the physician? [e.g. if the appointment for the second patient is 8:15AM, there is a 100% chance the second patient will have to wait]

- November 14, 2022 - Edwin Tunner

A physician sees many different kinds of patients, and thus the time spent with each patient varies. Let X be the time spent with a patient in minutes. From historical data, X is known to be uniformly distributed between 15 and 40 minutes.

a) What is the standard deviation of the time spent with a patient?

b) What is the likelihood that the physician will spend less than 35 minutes with a patient?

c) A patient has an appointment to see the physician at 8AM on a particular day. When should the second patient be scheduled so that there is only a 15% chance s/he will have to wait before before being seen by the physician? [e.g. if the appointment for the second patient is 8:15AM, there is a 100% chance the second patient will have to wait]

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