# normal distribution

Suppose that scores on a particular test are normally distributed with a mean of 120 and a standard deviation of 19. What is the minimum score needed to be in the top 5% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.

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#### Solution Preview

Denote by X the scores on a particular test. Obviously, X is a random variable following a normal distribution with a mean of 120 and a standard deviation of 19.

Now we need to find ...

#### Solution Summary

It finds the minimum score needed to be in the top 5% of the scores on the test, where the score is normally distributed.

$2.19