If the random variable X is normally distributed with mean $\mu$ and standard deviation $\sigma$ ,then the random variable Z defined by $Z = ( X - \mu ) / \sigma$ is also normally distributed with mean 0 and standard deviation 1.

Question

Quizplus · Accepted Answer

The transformation $Z = (X - \mu) / \sigma$ standardizes the normal distribution, resulting in a standard normal distribution with mean 0 and standard deviation 1.

If the Random Variable X Is Normally Distributed with Mean μ\muμ

If the Random Variable X Is Normally Distributed with Mean $\mu$