At the end of World War II, the Germans initiated the “flying bombs” attack on London. It was strategically important for the British to know the aiming accuracy of these bombs. If they were highly accurate, it would be best to spread key administrative and engineering sites widely over the city. On the other hand, if the bombs were falling more or less randomly, it would be best to maintain efficient operation with closely clustered units.For purposes of analysis, the city was divided into 576 regions of equal area and the number of hits per region recorded as shown in the following table (from [Clarke]). For example, 229 regions were not hit at all, 211 suffered one hit, and so on.(a) What's the probability more than two bombs would fall into one region if the bombs were falling more or less randomly?(b) Thinking of the solution to part (a), you might expect to answer a question like “How much time would pass on average between the falling of two bombs?” But that question cannot be answered from this data. Explain. (c) Should the British maintain “closely clustered units”?
At the end of World War II, the Germans initiated the “flying bombs” attack on London. It…
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