Template:Normal statistical properties: Difference between revisions

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==Normal Statistical Properties==
#REDIRECT [[The_Normal_Distribution]]
 
{{normal mean median and mode}}
 
{{normal standard deviation}}
 
{{normal reliability function}}
 
{{normal conditional reliability function}}
 
{{normal reliable life}}
 
===The Normal Failure Rate Function===
 
The instantaneous normal failure rate is given by:
 
::<math>\lambda (T)=\frac{f(T)}{R(T)}=\frac{\tfrac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{T-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}}{\int_{T}^{\infty }\tfrac{1}{{{\sigma }_{T}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{t-\mu }{{{\sigma }_{T}}} \right)}^{2}}}}dt}</math>

Latest revision as of 02:48, 13 August 2012