File:Normal Distribution CDF.svg

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Summary

Description
English: 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:
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SVG development
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 This chart was created with Mathematica.
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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.

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inception

2 April 2008

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