How do you find the area under the normal distribution curve to the right of z = –3.24?

1 Answer
Nov 24, 2017

#~~.9994#

Explanation:

To find the area under the normal distribution curve to the right of a z-score of -3.24 you can consult a z-score table. There are a few types of z-score tables you can use. The "usual" z-score table most people use is called a cumulative z-score table, or sometimes a "cumulative from negative infinity" z-score table. These z-score tables provide the area under the normal distribution curve to the left of a z-score. However, that's not a bad thing for this problem.

If we consult such a cumulative z-score table and reference the z-score of -3.24, we come up with a value of approximately .0006. This value represents the area under the curve to the left of that z-score. It stands to reason, then, that we can find the area under the curve to the right of that z-score by subtracting this value from 1:

#P(Z > -3.24) = 1 - .0006 = .9994#