### Home > INT3 > Chapter 6 > Lesson 6.2.4 > Problem6-69

6-69.

The cockpits for certain fighter jets were designed for men between $5' 8"$ and $6' 3"$ tall. In 2007, the U.S. Centers for Disease Control determined that the average height of a woman in the United States is $63.8$ inches with a standard deviation of $3.8$ inches.

What percentage of women are not within the optimal height range for fitting in the cockpit of the fighter jet? Make assumptions as needed.

Start by converting the given heights to inches. Assuming a normal distribution, calculate normalcdf(lower height, upper height, mean height, standard deviation). This will calculate the percentage of women whose heights fall between $5' 8"$ and $6' 3"$ tall.