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 num- ber 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 facil- ity. 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?
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 num- ber 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 facil- ity. 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text: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 num-
ber 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 facil-
ity. 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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