Standard normal random variable
= Standard normal random variable
{title2=$Z\sim N(0,1)$}
A <standard normal random variable> has the <standard normal distribution>, <mean> zero and <variance> one. If $X\sim N(\mu,\sigma^2)$ with $\sigma>0$, the <standardization of a normal random variable> $(X-\mu)/\sigma$ is a <standard normal random variable>. Its values report displacement from the <mean> in units of the <standard deviation>, so the result is a <dimensionless quantity>.