Difference between revisions of "Formulas"

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(added Std and General Normal PDF)
(added Chi-Square)
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* [[AP_Statistics_Curriculum_2007_Normal_Std |Standard Normal]] PDF: <math>f(x)= {e^{-x^2} \over \sqrt{2 \pi}}</math>
 
* [[AP_Statistics_Curriculum_2007_Normal_Std |Standard Normal]] PDF: <math>f(x)= {e^{-x^2} \over \sqrt{2 \pi}}</math>
 
* [[AP_Statistics_Curriculum_2007_Normal_Prob |General Normal]] PDF: <math>f(x)= {e^{{-(x-\mu)^2} \over 2\sigma^2} \over \sqrt{2 \pi\sigma^2}}</math>
 
* [[AP_Statistics_Curriculum_2007_Normal_Prob |General Normal]] PDF: <math>f(x)= {e^{{-(x-\mu)^2} \over 2\sigma^2} \over \sqrt{2 \pi\sigma^2}}</math>
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* [http://en.wikipedia.org/wiki/Chi-square_distribution Chi-Square] PDF: <math>\frac{(1/2)^{k/2}}{\Gamma(k/2)} x^{k/2 - 1} e^{-x/2}\,</math>

Revision as of 13:40, 24 April 2008

This SOCR Wiki page contains a number of formulas, mathematical expressions and symbolic representations that are used in varieties of SOCR resources. Usage is defined as a reference by image, text, TeX, URL, etc. For instance the SOCR Distributome project uses these formulas to represent PDFs, CDFs, transformations, etc.

  • Standard Normal PDF\[f(x)= {e^{-x^2} \over \sqrt{2 \pi}}\]
  • General Normal PDF\[f(x)= {e^{{-(x-\mu)^2} \over 2\sigma^2} \over \sqrt{2 \pi\sigma^2}}\]
  • Chi-Square PDF\[\frac{(1/2)^{k/2}}{\Gamma(k/2)} x^{k/2 - 1} e^{-x/2}\,\]