# use a z-score to calculate probabilites

At one university, the distance to students' home is normally distributed with a mean of 200 miles and a standard deviation of 25 miles.

a. what is the probability of a student living more than 241.25 miles from the school?

b. what % of students live between 180 and 220 miles from the school?

https://brainmass.com/statistics/z-test/score-calculate-probabilities-208983

#### Solution Summary

The solution shows step-by-step how to use a z-score to calculate probabilities given normally distributed variables (see attachment).

$2.19