Template:Exponential Reliable Life

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


 * $$R({{t}_{R}})={{e}^{-\lambda ({{t}_{R}}-\gamma )}}$$


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


 * or:


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