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(→Definition for two random variables: cleaning up notation) 

{{refimprovedate=March 2010}}
[[File:Exponential distribution cdf.pngthumb300pxCumulative distribution function for the [[
[[File:Normal Distribution CDF.svgthumb300pxCumulative distribution function for the [[
In [[probability theory]] and [[statistics]], the '''cumulative distribution function''' ('''CDF''') of a realvalued [[random variable]] <math>X</math>, or just '''distribution function''' of <math>X</math>, evaluated at <math>x</math>, is the [[probability]] that <math>X</math> will take a value less than or equal to <math>x</math><ref>{{Cite bookurl=https://github.com/mmlbook/mmlbook.github.iotitle=Mathematics for Machine Learninglast=Deisenroth,Faisal,Ongfirst=Marc Peter,A Aldo, Cheng Soonpublisher=Cambridge University Pressyear=2019isbn=9781108455145location=pages=181}}</ref>.
