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.