## Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank. About​

Question

Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank. About​ ______% of the area is between z1 and z1 ​(or within 1 standard deviation of the​ mean). About 68 nothing​% of the area is between z1 and z1 ​(or within 1 standard deviation of the​ mean).

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5 months 2021-08-13T22:46:45+00:00 1 Answers 69 views 0

## Answers ( )

68% of the area

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

By the Empirical Rule, 68% of the area is within 1 standard deviation of the mean.