# Calculating the Probability for a Normal Random Variable

The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observed.

Find the probability that her age will fall between 56 and 59 years.

Find the probability that her age will exceed 41 years.

https://brainmass.com/math/probability/calculating-probability-normal-random-variable-539225

#### Solution Preview

For a normally distributed random variable, we need to transfer it into a standard normal variable z. ...

#### Solution Summary

The solution gives detailed steps on calcualting the probability for a normally distributed random variable with known mean and standard deviation.

$2.19