If the random variable X has a mean of µ and a standard deviation σ,then the mean and standard deviation,respectively,of (X − µ)/σ are
A) μ and σ.
B)
And s.
C) 1 and 0.
D) 0 and 1.

Question

Quizplus · Accepted Answer

The formula for standardizing a random variable X with mean µ and standard deviation σ is given by (X - µ)/σ. 
Therefore, the mean of (X - µ)/σ is (µ - µ)/σ = 0/σ = 0.
The standard deviation of (X - µ)/σ is the standard deviation of X divided by σ, which is 1. 
Hence, the answer is D, 0 and 1.

If the Random Variable X Has a Mean of µ