Template:Alta exponential mean: Difference between revisions
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::<math>\begin{align} | ::<math>\begin{align} | ||
\overline{T}& = \ | \overline{T}& = \int_{0}^{\infty }t\cdot f(t)dt=\int_{0}^{\infty }t\cdot \lambda \cdot {{e}^{-\lambda t}}dt \\ | ||
& = \frac{1}{\lambda } | & = \frac{1}{\lambda } | ||
\end{align}</math> | \end{align}</math> | ||
Revision as of 23:26, 6 February 2012
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]