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