116 lines
3.8 KiB
TeX
116 lines
3.8 KiB
TeX
\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\title{Loi à densité - }
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\tribe{Terminale ES}
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\date{Février 2020}
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\pagestyle{empty}
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\geometry{left=10mm,right=10mm, top=10mm}
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\usepackage{pgfplots}
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\pgfplotsset{compat=1.7}
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\pgfmathdeclarefunction{gauss}{2}{%
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\pgfmathparse{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))}%
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}
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\newcommand{\graphs}{%
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\begin{tabular}{cc}
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X \sim \mathcal{B}(40;0.5) & Y \sim \mathcal{N}(20; 10) \\
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\begin{tikzpicture}[
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declare function={binom(\k,\n,\p)=\n!/(\k!*(\n-\k)!)*\p^\k*(1-\p)^(\n-\k);},
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]
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\begin{axis}[
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yscale=0.5,
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samples at={0,...,40},
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yticklabel style={
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/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=2
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},
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enlargelimits=false, clip=false, axis on top,
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ybar=0pt, bar width=1
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]
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%\addplot [fill=cyan, fill opacity=0.5] {binom(x,40,0.2)}; \addlegendentry{$p=0.2$}
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\addplot [] {binom(x,40,0.5)};
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\end{axis}
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\end{tikzpicture}
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&
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\begin{tikzpicture}
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\begin{axis}[
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yscale=0.5,
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no markers, domain=0:40, samples=100,
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yticklabel style={
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/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=2
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},
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%axis lines*=left, xlabel=$x$, ylabel=$y$,
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%every axis y label/.style={at=(current axis.above origin),anchor=south},
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%every axis x label/.style={at=(current axis.right of origin),anchor=west},
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%height=5cm, width=12cm,
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enlargelimits=false,
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clip=false, axis on top,
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%grid = major
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]
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\addplot [very thick,cyan!50!black] {gauss(20,3.16)};
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\end{axis}
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\end{tikzpicture}
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\\
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X \sim \mathcal{B}(40;0.4) & Y \sim \mathcal{N}(...; ...) \\
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\begin{tikzpicture}[
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declare function={binom(\k,\n,\p)=\n!/(\k!*(\n-\k)!)*\p^\k*(1-\p)^(\n-\k);},
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]
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\begin{axis}[
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yscale=0.5,
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samples at={0,...,40},
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yticklabel style={
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/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=2
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},
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enlargelimits=false, clip=false, axis on top,
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ybar=0pt, bar width=1
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]
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%\addplot [fill=cyan, fill opacity=0.5] {binom(x,40,0.2)}; \addlegendentry{$p=0.2$}
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\addplot [] {binom(x,40,0.4)};
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\end{axis}
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\end{tikzpicture}
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&
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\begin{tikzpicture}
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\begin{axis}[
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yscale=0.5,
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no markers, domain=0:40, samples=100,
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yticklabel style={
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/pgf/number format/fixed,
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/pgf/number format/fixed zerofill,
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/pgf/number format/precision=2
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},
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%axis lines*=left, xlabel=$x$, ylabel=$y$,
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%every axis y label/.style={at=(current axis.above origin),anchor=south},
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%every axis x label/.style={at=(current axis.right of origin),anchor=west},
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%height=5cm, width=12cm,
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enlargelimits=false,
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clip=false, axis on top,
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%grid = major
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]
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\addplot [very thick,cyan!50!black] {gauss(16,3)};
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\end{axis}
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\end{tikzpicture}
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\end{tabular}
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}
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\begin{document}
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\graphs
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\vfill
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\graphs
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\vfill
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\graphs
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\vfill
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\end{document}
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