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
Permission
(Reusing this file)
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
SVG development
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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")

Captions

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

Items portrayed in this file

depicts

File history

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Date/TimeThumbnailDimensionsUserComment
current18:17, 29 April 2016Thumbnail for version as of 18:17, 29 April 2016720 × 460 (76 KB)wikimediacommons>RayhemLighten background grid

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