File:Normal Distribution CDF.svg
| Uploaded by | TheBooker66 |
|---|---|
| Upload date | 2024-12-27T23:43:56Z |
| MIME type | image/svg+xml |
| Dimensions | 720 × 460 px |
| File size | 74.6 KB |
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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. |
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| Date | |||
| Source | Own work (Original text: self-made, Mathematica, Inkscape) | ||
| Author | Inductiveload | ||
| Permission (Reusing this file) |
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| SVG development |
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")