Question

Find the area under the standard nomal distribution curve between z=0 and z=0.85. Use 0 The 5 tandard Normal Distribution table and enter the answer to 4 decimal places. The area between the two z values is

Answer 1

The area under the standard normal distribution curve between z=0 and z=0.85, as found in the z-table, is 0.3023.

Step-by-step explanation:

To find the area under the standard normal distribution curve between z=0 and z=0.85, we use the standard normal distribution table which provides the area to the left of a given z-score. The area to the left of z=0 is always 0.5 because the mean of the standard normal distribution is at z=0. For z=0.85, the z-table indicates an area of approximately 0.8023 to the left of z=0.85. To find the area between z=0 and z=0.85, we subtract the area at z=0 from the area at z=0.85:

Area between z=0 and z=0.85 = Area to the left of z=0.85 - Area to the left of z=0

0.8023 - 0.5 = 0.3023

Therefore, the area under the standard normal distribution curve between z=0 and z=0.85 to four decimal places is 0.3023.