Home page for accesible maths 7 Models for continuous random variables 7.3 Gamma Distribution:

{\rm Gamma}(\alpha,\beta)

8 More than one random variable

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7.4 Normal Distribution: ${\mathcal{N}}(\mu,\sigma^{2})$ (non-examinable)

A random variable $X$ has a normal distribution, also known as a Gaussian distribution, with parameters $\mu$ and $\sigma^{2}$ if its pdf is given by

f_{X}(x)=\frac{1}{\sqrt{2\pi\sigma^{2}}}\exp\left\{-\frac{(x-\mu)^{2}}{2\sigma% ^{2}}\right\}

for $x\in{\mathbb{R}}$ .

This is the most commonly used random variable, cropping up all over the place, for good theoretical reasons. However it will be studied in MATH104, alongside its uses in statistics.