A variable is normally distributed with a mean of 100 and a standard deviation of 10. What percentage of observations of the variable lie between 106 and 110?

Question

A variable is normally distributed with a mean of 100 and a standard deviation of 10. What percentage of observations of the variable lie between 106 and 110?
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Solution 1

To answer this question, we need to use the properties of the standard normal distribution.

Step 1: Standardize the values First, we need to convert the values 106 and 110 into z-scores. The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation. 

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