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Some common PDFs:

Normal: $f(x) = \frac{1}{\sqrt{2\pi\sigma^2}}\exp\left[-\frac{(x-\mu)^2}{2\sigma^2}\right]$

Binomial: $Pr(X = x) = \frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}$

Gamma: $f(x) = \frac{\beta^{\alpha}}{\Gamma(\alpha)}x^{\alpha-1}\exp(-\beta x)$

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