How do you find the area under the normal distribution curve to the right of z = –3.24?
Currently, the information given is the z-score, which is
Z-scores have an equivalent percentage of the area under the normal distribution curve.
While this table may look very long and confusing to understand, it is actually pretty simple! This purpose of this table is to convert your z-score into its equivalent percentage.
Your z-score is located on the farthest left yellow column
First, find the row with the z-score
Next, look under the column
Third, find where the row and column intersect! It should meet up at
However, this is only the area between the halfway point of the normal distribution curve and your z-score.
Since you want everything to the right of
Your answer is
.9994 or 99.94%
If you have a graphing calculator, you can use it to find the area.
Hit 2nd > VARS > 2: normalcdf(
This will prompt you for the lower bound, upper bound, mean (
First, fill in your lower and upper bounds. You want to find the area to the right of z = -3.24, which means -3.24 and everything above that. Therefore,
lower bound = -3.24
upper bound = 999
Then press paste and enter, and you should get an answer of approximately .9994, or 99.94%.