# Question: If the random variable X has the mean and

If the random variable X has the mean µ and the standard deviation s, show that the random variable Z whose values are related to those of X by means of the equation z = x- µ / σ has E(Z) = 0 and var(Z) = 1

A distribution that has the mean 0 and the variance 1 is said to be in standard form, and when we perform the above change of variable, we are said to be standardizing the distribution of X.

A distribution that has the mean 0 and the variance 1 is said to be in standard form, and when we perform the above change of variable, we are said to be standardizing the distribution of X.

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