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Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A random sample of 100 students was taken

Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A random sample of 100 students was taken to estimate the mean monthly rent paid by the whole student population.

Question : What is the probability that the sample mean differs from the population mean by more than $3?

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