Cumulative Distribution and our UCLA population

What is the percentage of individuals between 5 foot 5 inches and 6 feet tall?

The problem asks for the area beneath the Normal Curve between and the x- coordinates 65 and 72.   As before, it is necessary to convert the x- coordinates of our Normal Curve to the z-coordinate values of the Standard Normal Curve using the  equation for z, and from there consult the z-distribution table.

Our solution is to find the area under the curve from x=0 to x=65, and then from x=0 to x=72 and add the values together.

The Percentage of the population between the height of 65 and 72 inches is 59.5%.

Another Useful Distribution is the Cumulative Normal Distribution.