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

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Question

Statistics

At a doctor’s office, patients are called in from the waitingroom according to a Poisson
distribution with an average of 2 patients every 15minutes.
a) On average, how many patients are called in to see thedoctor between 3:15pm-
4:15pm?
b) On average, how long does it take for a patient to finishtheir appointment with the
doctor (seeing the doctor, not including the waitingtime)?
c) You are at the doctor’s office and there are 3 patients infront of you. The time is
now 2:45pm and the first patient has been called in. At whattime do you expect to
be able to leave the doctor’s office (after finishing yourappointment)?
d) What is the probability that a patient has to wait longerthan 10 minutes to be
called in if he is the next in line to be called in?

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