If Z is a standard normal random variable, how would one describe the area between z = 0.0 and z =1.50 compared to the area between z = 1.5 and z = 3.0?
A) the same
B) larger
C) smaller

Question

Quizplus · Accepted Answer

The area between z = 0.0 and z = 1.50 is smaller than the area between z = 1.5 and z = 3.0, because the standard normal distribution is a symmetric distribution and the area under the curve to the right of z = 0.0 is the same as the area under the curve to the left of z = 0.0. This means that the area between z = 0.0 and z = 1.50 is half the area between z = 1.5 and z = 3.0. Because the area under the curve represents the probability, we can conclude that the probability between z = 0.0 and z = 1.50 is smaller than the probability between z = 1.5 and z = 3.0.

If Z Is a Standard Normal Random Variable, How Would