# Statistics: Normal Distribution and Standard Deviation

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Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6.

a. What is the probability that a randomly selected exam will have a score of at least 71?

b. What percentage of exams will have scores between 89 and 92?

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##### Solution Summary

This solution shows how to find the probability of an event, i.e. that an exam will have a certain score, and how to find the percentage of exams that have scores that fall within a specified range.

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Let X be the score on a recent national statistics exam.

a. What is the probability ...

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