For a normal distribution, find the area between the mean and a point 2.33 standard deviations to the right of the mean.
A).4901
B).3980
C).4756
D).4985
E).4292

Question

Quizplus · Accepted Answer

The area between the mean and a point 2.33 standard deviations to the right of the mean in a normal distribution is found by looking up the z-score of 2.33 in a standard normal distribution table or using a calculator. The area to the left of z=2.33 is approximately 0.9901. Since the total area under the curve is 1, and we want the area between the mean (which splits the area into two equal parts of 0.5 each) and z=2.33, we subtract the left half (0.5) from the area to the left of z=2.33: 0.9901 - 0.5 = 0.4901.

For a Normal Distribution, Find the Area Between the Mean