Normally distributed

A Random variable $X$ is normally distributed over $\mathbb{R}$ if it’s probability density function is given by $f(x)=\frac{1}{\sigma \sqrt{2\pi }}{e}^{-(\frac{x-\mu }{\sigma }{)}^2}$, where:

• $\mu$ is the Mean of $X$
• $\sigma$ is the Variance of $X$