Find the area under the standard normal curve to the left of z = 0.35.

Solution:

The diagram below shows the normal distribution curve with z = 0.35 on the horizontal axis.

The area between the line passing through z = 0 and z = 0.35 can be obtained from the z-tables of the Normal Distribution Curve.

From the tables tha area is 0.1368

The entire area below the curve to the left of z = 0 is 0.5

Hence the total area to the left of the curve z = 0.35 is = 0.1368 + 0.5 = 0.6368

Find the area under the standard normal curve to the left of z = 0.35.

Summary:

The area under the standard normal curve to the left of z = 0.35 is 0.6368