Find the area under the standard normal distribution curve between z = -2.05 and z = 2.05

Solution:

Z-score is a numerical measurement used to describe a value's relationship to the mean of a group of values.

Z-score is measured in terms of standard deviations of values from their mean.

If a Z-score is 0, it means that the data point's score is identical to the mean score, while a Z-score of 1.0 would indicate a value that is one standard deviation from the mean

A Z-Score chart, often called a Z-Table, is used to find the area under a normal curve, or bell curve, for a binomial distribution.

The Z score itself is a statistical measurement of the number of standard deviations from the mean of a normal distribution.

Using the z-chart table

When z = 2.05, we see that z = 0.9798

When z = -2.05, we see that z = 0.02018

By subtracting both we can find the area under the standard normal distribution curve

Area = 0.9798 - 0.02018 = 0.95962

Therefore, the area under the standard normal distribution curve is 0.95962

Find the area under the standard normal distribution curve between z = -2.05 and z = 2.05

Summary:

The area under the standard normal distribution curve between z = -2.05 and z = 2.05 is 0.95962