In analyzing hits by bombs in a past war, a city was subdivided into 645 regions, each with an area of 1-km². A total of 541 bombs hit the combined area of 645 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 1-km². Find the mean number of hits per region: Find the standard deviation of hits per region: standard deviation = If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.) P(X=2)=P(X=2)= Based on the probability found above, how many of the 645 regions are expected to be hit exactly twice? (Round answer to a whole number.) ans = If a region is randomly selected, find the probability that it was hit at most twice. (Report answer accurate to 4 decimal places.) P(X≤2)=P(X≤2)=
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.
In analyzing hits by bombs in a past war, a city was subdivided into 645 regions, each with an area of 1-km². A total of 541 bombs hit the combined area of 645 regions. The Poisson distribution applies because we are dealing with the occurrences of an
Find the mean number of hits per region:
Find the standard deviation of hits per region:
standard deviation =
If a region is randomly selected, find the
(Report answer accurate to 4 decimal places.)
P(X=2)=P(X=2)=
Based on the probability found above, how many of the 645 regions are expected to be hit exactly twice?
(Round answer to a whole number.)
ans =
If a region is randomly selected, find the probability that it was hit at most twice.
(Report answer accurate to 4 decimal places.)
P(X≤2)=P(X≤2)=
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