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16-12-2022
Mathematics

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The country of Northeros is divided into m distinct regions based on land geology, which determines earthquake probability. During any given hour, the probability of an earthquake in the region i â {1, . . ., m} is pi â 0.001i, and is independent of all other hours. Find a good approximation for the probability that there are exactly 10 earthquakes over a period of 10000 hours in the entire Northeros. You may assume that: (a) earthquakes in different regions are independent, and (b) there is at most one earthquake during a one-hour period in any given region. Note that there can be multiple earthquakes in the entire country during a one-hour period.

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