At a doctor’s office, patients are called in from the waiting room according to a Poisson...

At a doctor’s office, patients are called in from the waiting room according to a Poisson

distribution with an average of 2 patients every 15 minutes.

a) On average, how many patients are called in to see the doctor between 3:15pm-

4:15pm?

b) On average, how long does it take for a patient to finish their appointment with the

doctor (seeing the doctor, not including the waiting time)?

c) You are at the doctor’s office and there are 3 patients in front of you. The time is

now 2:45pm and the first patient has been called in. At what time do you expect to

be able to leave the doctor’s office (after finishing your appointment)?

d) What is the probability that a patient has to wait longer than 10 minutes to be

called in if he is the next in line to be called in?

Expert Solution

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orchestra answered 1 year ago

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At a doctor’s office, patients are called in from the waiting room according to a Poisson...

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