Difference between revisions of "Expected value of uniform distribution"

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<strong>[[Expected value of uniform distribution|Proposition]]:</strong> Let $X$ have the [[uniform distribution]] on $[a,b] \cap \mathbb{T}$. Then,
 
<strong>[[Expected value of uniform distribution|Proposition]]:</strong> Let $X$ have the [[uniform distribution]] on $[a,b] \cap \mathbb{T}$. Then,
$$E_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$
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$$\mathrm{E}_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$
 
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<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
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Revision as of 22:00, 14 April 2015

Proposition: Let $X$ have the uniform distribution on $[a,b] \cap \mathbb{T}$. Then, $$\mathrm{E}_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$

Proof: