Summary of Continuous Distributions
- Uniform
- a = lowest/minimum value
- b = highest/maximum value
- \mu=\frac{a+b}{2}
- \sigma=\sqrt{\frac{\left(b-a\right)^2}{12}}
- X ~ U(a,b)
- Exponential
- decay parameter: m\:or\:\lambda=\frac{1}{\mu}
- average time: \mu=\sigma
- X time ≥ 0
- X ~ Exp(m)
- probability formula: f\left(x\right)=me^{-mx}
- Normal
- X\:\sim\:N\left(\mu,\sigma\right)
- (calculations covered elsewhere, link to be added )
- z=\frac{x-\mu}{\sigma}