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

##### 2 Answers

#### Answer:

**or**

#### Explanation:

**Currently, the information given is the z-score, which is #z=-3.24#.**

**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 #(3.2)# The yellow row on top is if you have a z-score with a hundreths value, which you do. #(0.04)#**

**First, find the row with the z-score #3.2#. (It's the third row from the bottom.)**

**Next, look under the column #0.04#.**

**Third, find where the row and column intersect! It should meet up at #.4994#.**

**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 #-3.24#, you must also add #.5# to compensate for the other 50% of the graph.**

**Your answer is #.9994# square units, or #99.94%#!**

#### Answer:

.9994 or 99.94%

#### Explanation:

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

Keep

Then press **paste** and **enter**, and you should get an answer of approximately .9994, or 99.94%.