STAT 202 A clinic has two doctors working at it, doctor A and doctor B.

| September 11, 2018

Question: A clinic has two doctors working at it, doctor A and doctor B. Assume that patients’ consultation times with the doctors are exponentially distributed, with a mean of 10 minutes for doctor A and with a mean of 25 minutes for doctor B. Assume that at 10:00, doctor A is busy with patient 1, while doctor B will start consultation with his first patient, patient 2, at 10:15. What is the probability that patient 1 is the first one to finish with the consultation?

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