# Normal distribution probability - Central Limit Theorem

Assume men's weights are normally distributed w/ a mean of 172 lb. and a s.d. of 29lb.

(a) If one man randomly selected, find the probability his weight is between 166 and 176 lb.

( b) If 16 men selected, find the probability that the mean weight is between 166 and 176 lb.

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#### Solution Preview

This solution shows how to find the probability of an event related to a normal distribution and how to apply the central limit theorem to find the probability of an event related to a sample mean. Please see the attached Word document for details of how to solve this exercise.

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Assume men's weights are normally distributed w/ a mean of 172 lb. and a ...

#### Solution Summary

This solution shows how to find the probability of an event related to a normal distribution and how to apply the central limit theorem to find the probability of an event related to a sample mean.