Vaizdas:Normal distribution pdf.png

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Español: Distribución normal.
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Probability density function for the normal distribution

GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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gnuplot source under GPL:

_ln_dnorm(x, m, s) = -0.5 * log(2*pi) - log(s) - 0.5*((x-m)*1.0/s)**2
dnorm(x, mean, sd) = exp(_ln_dnorm(x, mean, sd))
pnorm(x, mean, sd) = norm((x-mean) * 1.0/sd)

set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
set output

set xrange [-5:5]
set xtics 1
set yrange [0:1]
set ytics 0.1

f(x,y,z) = dnorm(x, y, sqrt(z)) #use variance, not sd!
set key 3.8,0.94

#f(x,y,z) = pnorm(x, y, sqrt(z))
#set key 3.8,0.2

plot \
    f(x,  2, 9) title "{/Symbol m} =  2, {/Symbol s}^2 = 9", \
    f(x,  2, 1)   title "{/Symbol m} =  2, {/Symbol s}^2 = 1", \
    f(x,  5, 1)   title "{/Symbol m} =  5, {/Symbol s}^2 = 1", \
    
GNU head This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

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