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 fnds 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. 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 fnds 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.
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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