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In: Advanced Math

In analyzing hits by bombs in a past war, a city was subdivided into 552 regions,...

In analyzing hits by bombs in a past war, a city was subdivided into 552 regions, each with an area of 0.25-km². A total of 447 bombs hit the combined area of 552 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 0.25-km².

Find the mean number of hits per region:
mean =

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 552 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)=

Solutions

Expert Solution

Colby Messinger answered 5 months ago
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