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 is a continuous random variable with a mean of 0 and a standard deviation of 1, while the normal variable X can have any mean and standard deviation. The value of z represents the number of standard deviations that a given value of X is away from its mean, which means that it can take on both negative and positive values. Therefore, choice C is the best answer since it correctly describes the relationship between the two variables.

The Relationship Between the Standard Normal Random Variable Z and Normal