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In analyzing hits by bombs in a past war, a city was subdivided into 503 regions, each with an area of 0.25- mii. Atotal of
In analyzing hits by bombs in a past war, a city was subdivided into 503 regions, each with an area of 0.25- mii. Atotal of 402 bombs hit the combined area of 503 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- mii]. [a] Find the mean number of hits per region. (Round your answer to 2 places after the decimal point, if necessary] u = |_ l [b] Find the standard deviation of hits per region. {Round your answer to 2 places after the decimaL point, if necessary.) U=| l c] If a region is randomly selected, find the probability that it was hit exactly twice. Round your answer to 4 places after the decimal point, if necessary.) Hm=m=l ] d] Based on the probability found above, how many of the 503 regions are expected to be hit exactly twice? Round your answer to a whole number] ans=| l e] If a region is randomly selected, find the probability that it was hit at most twice. Round your answer to 4 places after the decimal point, if necessary.) magm=l
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