Template:Alta exponential reliable life

Reliable Life
The reliable life, or the mission duration for a desired reliability goal, $${{t}_{R}}$$, for the 1-parameter exponential distribution is given by:


 * $$\begin{align}

& R({{t}_{R}})= {{e}^{-\lambda {{t}_{R}}}} \\ & &  \\  & \ln [R({{t}_{R}})]=  -\lambda {{t}_{R}} \end{align}$$

or:


 * $${{t}_{R}}=-\frac{\ln [R({{t}_{R}})]}{\lambda }$$