File:Normal Distribution CDF.svg

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Summary

Description A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied. The key is given on the graph.
Date
Source Own work (Original text: self-made, Mathematica, Inkscape)
Author Inductiveload
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Other versions Derivative works of this file:  CumulativeSD.svg
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Mathematica Code

Plot[
 {
  CDF[NormalDistribution[0, Sqrt[0.2]], x],
  CDF[NormalDistribution[0, 1], x],
  CDF[NormalDistribution[0, Sqrt[5]], x],
  CDF[NormalDistribution[-2, Sqrt[0.5]], x]
  },
 {x, -5, 5},
 PlotRange -> All,
 Axes -> False]

R language Code

#Normal Distribution - Cumulative Density Function (CDF)
#range
x=seq(-5,5,length=200)
#plot each curve
plot(x,pnorm(x,mean=0,sd=sqrt(.2)),type="l",lwd=2,col="blue",main='Cumulative Density Function CDF',xlim=c(-5,5),ylim=c(0,1),xlab='X',
ylab='φμ, σ²(X)')
curve(pnorm(x,mean=0,sd=1), add=TRUE,type="l",lwd=2,col="red")
curve(pnorm(x,mean=0,sd=sqrt(5)), add=TRUE,type="l",lwd=2,col="yellow")
curve(pnorm(x,mean=-2,sd=sqrt(.5)), add=TRUE,type="l",lwd=2,col="green")

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A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied.

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Date/TimeThumbnailDimensionsUserComment
current21:47, 29 April 2016Thumbnail for version as of 21:47, 29 April 2016720 × 460 (76 KB)wikimediacommons>RayhemLighten background grid

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