Find the probability that it was hit at least once

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In analyzing hits by bombs in a past war, a city was subdivided into 570 regions, each with an area of 0.25-km². A total of 438 bombs hit the combined area of 570 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 570 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 570 regions are expected to be hit at least once?

Reference no: EM132465222

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