The probability that a normal random variable is less than its mean is ________.
A) 0.0
B) 0.5
C) 1.0
D) Cannot be determined

Question

Quizplus · Accepted Answer

In a normal distribution, the mean represents the highest point of the curve, and the curve is symmetrical around the mean. Therefore, half of the area under the curve is to the left of the mean, and half is to the right. This means that the probability of the random variable being less than the mean is 0.5.

The Probability That a Normal Random Variable Is Less Than