Answer to Question #311840 in Statistics and Probability for Jamaica

Question

If the mean and the standard deviation of a continuous random variable that is normally distributed are 19 and 5 respectively, what is the interval that contains 95% of the distribution? *

Answer 1

Approximately 95% of the data fall within two standard deviations of the mean:

$(\mu-2\sigma,\mu+2\sigma) =\\(19-2\cdot5,19+2\cdot5)=(9,29).$