Difference between revisions of "Expected value of exponential distribution"
From timescalewiki
(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the exponentia...") |
|||
| Line 1: | Line 1: | ||
| − | + | ==Theorem== | |
| − | + | If $X$ is a random variable with the [[exponential distribution]] with parameter $\lambda$, then | |
$$\mathrm{E}_{\mathbb{T}}(X)=\dfrac{1}{\lambda}.$$ | $$\mathrm{E}_{\mathbb{T}}(X)=\dfrac{1}{\lambda}.$$ | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 14:07, 28 January 2023
Theorem
If $X$ is a random variable with the exponential distribution with parameter $\lambda$, then $$\mathrm{E}_{\mathbb{T}}(X)=\dfrac{1}{\lambda}.$$
