If the random variable X has a mean of µ and a standard deviation ?,then (X - µ)/? has a mean and standard deviation respectively:
A)? and ?
B) $\bar { X }$
And s
C)1 and 0
D)0 and 1

Question

Quizplus · Accepted Answer

The expression (X - µ)/σ represents the standardized form of the random variable X. By definition, when a set of observations is standardized, the resulting distribution has a mean of 0 and a standard deviation of 1. Therefore, the answer is D) 0 and 1, which correspond to the mean and standard deviation of the standardized variable.

If the Random Variable X Has a Mean of µ Xˉ\bar { X }Xˉ

If the Random Variable X Has a Mean of µ $\bar { X }$