In analyzing hits by bombs in a past war, a city was subdivided into 461 regions, each with an area of 0.25-km². A total of 345 bombs hit the combined area of 461 regions.
(a) Find the mean number of hits per region:
mean =
(b) If a region is randomly selected, find the probability that it was hit exactly twice.
(Report answer accurate to 4 decimal places.)
(c) Based on the probability found above, how many of the 461 regions are expected to be hit exactly twice?
(d) If a region is randomly selected, find the probability that it was hit at most twice.
(Report answer accurate to 4 decimal places.)
(e) If a region is randomly selected, find the probability that it was hit at least once.
(Report answer accurate to 4 decimal places.)
(f) Based on the probability found in part e, how many of the 461 regions are expected to be hit at least once?
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