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2. Patients arrive at a clinic according to a Poisson distribution at a rate of 20 patients per hour.
The waiting room does not accommodate more than 12 patients. Examination time per patient is
exponential with mean rate 15 per hour. (a) What is the probability that an arriving patient needs
not to wait in the waiting room? (b) What is the expected time until a patient is discharged from
the clinic?

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