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Problem

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Textbook ExpertVerified Tutor
19 Nov 2021

Given information

About what percent of the  values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?

Step-by-step explanation

Step 1.

A normal distribution is a continuous variable with pdf in statistics.

  

Where:   is the mean of the distribution and   is the standard deviation; notation . If  the random variable is called the standard normal distribution.

In a normal distribution, the -score indicates how many standard deviations a given number is above or below the mean. The -negative score's value indicates that the value is below the mean, while the positive value indicates that it is above the mean.

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