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**elijah123** Hello everyone hope you're all having a good day, this question has been bugging me on a past paper I have been practicing for two days.

The question is:

The Colosseum in Rome can be divided into several thousand small sections.Suppose that the earthquake force that a section can withstand has meanand standard deviation, respectively, of 3.4 and 1.5 on the Richter scale. Arandom sample of 100 sections is taken. Find an approximation to theprobability that the mean earthquake force that these can withstand isgreater than 3.6 on the Richter scale.

My first assumption was to use the continuitycorrection if we approximate it by a continuous distribution like the normal. But i'm having trouble applying this concept and identifying what key points I need to extract from the question.

Any help would be appreciated.

Thank you