A doctor has scheduled two appointments, one at 1pm and the other
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A doctor has scheduled two appointments, one at 1pm and the other at 1:30pm. The amount of time the doctor spends with the patient is a constant 20 minutes plus a random amount of time which is distributed as exponential with mean 8 minutes. Assume that both patients will be on time for their appointments.
- What is the chance the doctor will be late for her 1:30 appointment because she spends more than 30 minutes with her 1pm appointment?
- On average, how long will the 1:30 appointment be at the doctor’s office?
The time the 1:30 appointment spends in the office is the sum of 3 parts: the random waiting time W, the constant 20 minutes of examination time and the additional random examination time T.
We seek E[W + 20 + T] = E[W] + 20 + E[T]
To determine the E[W], condition on whether or not the 1:00pm appointment is still going on at 1:30pm.
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[Solved] A doctor has scheduled two appointments, one at 1pm and the other
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- Submitted On 15 Jul, 2020 07:27:11
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