# Probability Normal Distribution

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A sample of 100 is taken from a population which has a normal distribution with a mean of 80 and a standard deviation of 40.

What is the probability that the sample mean is between 74 and 81 is?

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##### Solution Summary

The solution addresses if a sample of 100 is taken from a population which has a normal distribution with a mean of 80 and a standard deviation of 40. What is the probability that the sample mean is between 74 and 81 is?

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n=100

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<br>X - Normal (mean=80, sd=40)

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<br>Xbar - sample mean

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<br>P(74< Xbar < ...

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