Template:Alta exponential mean

The Mean or MTTF
The mean, $$\overline{T},$$  or Mean Time To Failure (MTTF) of the 1-parameter exponential distribution is given by:
 * $$\begin{align}

\overline{T}& = \int_{0}^{\infty }t\cdot f(t)dt=\int_{0}^{\infty }t\cdot \lambda \cdot {{e}^{-\lambda t}}dt \\ & = \frac{1}{\lambda } \end{align}$$