Skip to main content
Standard Normal Distribution
6. Normal Distribution & Continuous Random Variables / Standard Normal Distribution / Problem 9
Problem 9

In a study of foot lengths, it was found that the lengths are normally distributed with a mean of 250 mm250~\text{mm} and a standard deviation of 15 mm15~\text{mm}. A shoe company decides to design shoes that will not fit individuals whose foot lengths fall in the smallest 2.5%2.5\% or the largest 2.5%2.5\% of the population. What is the range of foot lengths that the shoes will cover?