If the random variable X has a mean of $\mu$
And a standard deviation $\sigma$
,then $( X - \mu ) / \sigma$
Has a mean of ____ and standard deviation of _____.
A) $\mu$ and $\sigma$
B) $\bar { X }$ and s
C)1 and 0
D)0 and 1
E)Cannot be determined without more information.

Question

Quizplus · Accepted Answer

The transformation $(X - \mu) / \sigma$ standardizes the random variable X, resulting in a new variable with a mean of 0 and a standard deviation of 1. This process is known as standardization or normalization.

If the Random Variable X Has a Mean Of μ\muμ And a Standard Deviation

If the Random Variable X Has a Mean Of $\mu$ And a Standard Deviation