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+\documentclass[varwidth=true, border=4pt]{article}
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+\usepackage[active,tightpage]{preview}
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+\usepackage[latin1]{inputenc}
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+\usepackage{amsmath}
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+\usepackage{pgfplots}
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+\usepackage{helvet}
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+\usepackage[eulergreek]{sansmath}
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+
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+\pgfmathdeclarefunction{gauss}{2}{%
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+ \pgfmathparse{1/(sqrt(2*pi*#2))*exp(-((x-#1)^2)/(2*#2))}%
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+}
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+% to be used: \gauss(x)(mean)(variance)
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+
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+\pgfplotsset{
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+tick label style = {font=\sansmath\sffamily},
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+every axis label/.append style={font=\sffamily\footnotesize},
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+}
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+
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+\begin{document}
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+\begin{preview}
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+\begin{tikzpicture}
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+ \begin{axis}[
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+ width=13.5cm,
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+ height=8.625cm,
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+ % Grid
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+ grid = major,
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+ grid style={black, thin},
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+ % size
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+ xmin= 0, % start the diagram at this x-coordinate
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+ xmax= 120, % end the diagram at this x-coordinate
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+ ymin= 0, % start the diagram at this y-coordinate
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+ ymax= 0.045, % end the diagram at this y-coordinate
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+ % Legende
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+ legend style={
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+ font=\large\sansmath\sffamily,
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+ at={(0.5,-0.18)},
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+ anchor=north,
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+ legend cell align=left,
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+ legend columns=-1,
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+ column sep=0.5cm
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+ },
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+ % Ticks
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+ tick align=inside,
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+ minor tick num=3,
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+ minor tick style={thick},
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+ scaled y ticks = false,
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+ yticklabel={\pgfmathparse{\tick*100}\pgfmathprintnumber{\pgfmathresult}\%},
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+ yticklabel style={
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+ %/pgf/number format/precision=2,
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+ /pgf/number format/fixed,
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+ %/pgf/number format/fixed zerofill
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+ },
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+ % Axis
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+ axis line style = very thick,
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+ xlabel=$x$,
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+ x label style={at={(axis description cs:0.5,0)},
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+ anchor=north,
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+ font=\boldmath\Large},
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+ ylabel=$\mathcal{N}_{\mu, \sigma^2}(x)$,
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+ y label style={at={(axis description cs:0.05,0.5)},
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+ anchor=south,
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+ font=\boldmath\Large},
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+ ]
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+ \addplot [domain=0:120,ultra thick,red!90!black,samples=200,] {gauss(80,100)};
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+ \addplot [domain=0:120,ultra thick,cyan!50!black,samples=200] {gauss(40,100)};
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+ \addlegendentry{$\mu=80,\enskip \sigma^2 = 100$}
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+ \addlegendentry{$\mu=40,\enskip \sigma^2 = 100$}
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+ \end{axis}
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+\end{tikzpicture}
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+\end{preview}
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+\end{document}
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