Template:Alta exponential mean: Difference between revisions
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====The Mean or MTTF==== | ==== The Mean or MTTF ==== | ||
The mean, | |||
The mean, <math>\overline{T}</math>, or mean time to failure (MTTF) of the 1-parameter exponential distribution is given by: | |||
<br> | |||
::<math>\begin{align} | ::<math>\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 } | \overline{T}& = \int_{0}^{\infty }t\cdot f(t)dt=\int_{0}^{\infty }t\cdot \lambda \cdot {{e}^{-\lambda t}}dt = \frac{1}{\lambda } | ||
Revision as of 22:30, 6 March 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]