Some previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. 4.67 :The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion?

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Chapter1: Combinatorial Analysis
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Some previous studies have shown a relationship between
emergency-room admissions per day and level of pollution
on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day
ordinarily (unless there is unusually high pollution) follows
a Poisson distribution with mean = 2.0 admissions per day.
Suppose each admitted person to the emergency ward
stays there for exactly 1 day and is then discharged.
4.67 :The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for
at least 95% of normal-pollution days it will not need to turn
anyone away. What is the smallest number of beds it should
have to satisfy this criterion?

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