The relationship between the standard normal random variable Z and normal random variable X is that:
A)Only the normal random variable X is continuous.
B)Only the standard normal variable Z is continuous.
C)The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean.
D)The values of the standard normal random variable Z cannot be negative.
E)The values of the normal random variable X cannot be negative.

Question

Quizplus · Accepted Answer

The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean. This relationship is given by the formula Z = (X - μ) / σ, where μ and σ are the mean and standard deviation of the normal random variable X. The standard normal variable Z is continuous, and its values can be negative or positive. While the normal random variable X is also continuous, its values can be negative or positive.

The Relationship Between the Standard Normal Random Variable Z and Normal