To find the area under the standard normal distribution curve between z = 0 and z = 2.16, we can use the standard normal distribution table, also known as the Z-table.
The Z-table gives us the area to the left of a given z-score. For z = 0, the area is 0.5000, as it is the mean of the distribution. For z = 2.16, we look up the value in the Z-table and find that the area to the left of z = 2.16 is approximately 0.9846.
Now, to find the area between z = 0 and z = 2.16, we subtract the area at z = 0 from the area at z = 2.16:
Area between z = 0 and z = 2.16 = Area(z = 2.16) – Area(z = 0)
Substituting the values:
Area = 0.9846 – 0.5000 = 0.4846
Thus, the area under the standard normal distribution curve between z = 0 and z = 2.16 is approximately 0.4846.