High School

Using the 68-95-99.7 Rule, what percentage of values should fall between 31 and 36 for a normally distributed random variable?

A) 34%
B) 47.5%
C) 68%
D) 95%

Answer :

Final answer:

Approximately 68% of values should fall between 31 and 36 for a normally distributed random variable.

Explanation:

The 68-95-99.7 Rule states that for a normally distributed random variable, approximately 68% of values fall within one standard deviation of the mean, approximately 95% fall within two standard deviations of the mean, and more than 99% fall within three standard deviations of the mean.

In this case, the range between 31 and 36 falls within one standard deviation of the mean. So, approximately 68% of values should fall between 31 and 36 for a normally distributed random variable.

Learn more about random variable here:

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