Find the area under the standard normal distribution curve between z = - 2.16 and z = 0.

Solution:

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 = 0, we see that z = 0.50000

When z = -2.16, we see that z = 0.01539

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

Area = 0.50000 - 0.01539 = 0.48461

Therefore, the area under the standard normal distribution curve is 0.48461

Find the area under the standard normal distribution curve between z = - 2.16 and z = 0.

Summary:

The area under the standard normal distribution curve between z = - 2.16 and z = 0 is 0.48461