Template:Aw cdf and rf

The [math]\displaystyle{ cdf }[/math] and the Reliability Function

The [math]\displaystyle{ cdf }[/math] of the 2-parameter Weibull distribution is given by:

[math]\displaystyle{ F(T)=1-{{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}} }[/math]

The Weibull reliability function is given by:

[math]\displaystyle{ \begin{align} R(T)&= & 1-F(t) \\ & = & {{e}^{-{{\left( \tfrac{T}{\eta } \right)}^{\beta }}}} \end{align} }[/math]