The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with 2.83 per day. The squad can handle at most four calls a day. a. What is the probability that the squad will be able to handle all the calls on a particular day? b. The squad wants to have at least 95% confidence of being able to handle all the calls received in a day. At least how many calls a day should the squad be prepared for? c. Assuming that the squad can handle at most four calls a day, what is the largest value of that would yield 95% confidence that the squad can handle all calls?
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.
The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with 2.83 per day. The squad can handle at most four calls a day.
a. What is the probability that the squad will be able to handle all the calls
on a particular day?
b. The squad wants to have at least 95% confidence of being able to handle
all the calls received in a day. At least how many calls a day should the
squad be prepared for?
c. Assuming that the squad can handle at most four calls a day, what is the
largest value of that would yield 95% confidence that the squad can
handle all calls?
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