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The emergency room at Hosptal Systems, Inc. (HIS) serves patients who arrive according to a Poisson...

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Advance Math

The emergency room at Hosptal Systems, Inc. (HIS) servespatients who arrive according to a Poisson distribution at the rateof 9 per hour. Treatment takes an average of 6 minutes and thetreatment times can be considered to follow an exponentialdistribution. What is the (a) minimum number of doctors required sothat at least 70% of the arriving patients can receive treatmentimmediately? (b) minimum number of doctors required so that theaverage time a patient waits for treatment is no more than 30minutes as advertised? No more than 15 minutes?

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