Template:Alta exponential mean

The Mean or MTTF

The mean, [math]\displaystyle{ \overline{T} }[/math], or mean time to failure (MTTF) of the 1-parameter exponential distribution is given by:

[math]\displaystyle{ \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} }[/math]