117 lines
3.4 KiB
TeX
117 lines
3.4 KiB
TeX
\documentclass[14pt,xcolor=table]{classPres}
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%\usepackage{myXsim}
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\title{}
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\author{}
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\date{Septembre 2019}
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\begin{document}
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\begin{frame}{Simulation avec le tableur}
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\begin{block}{Aléatoire}
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\pause
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Fonction pour faire de l'aléatoire:
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\begin{center}
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\texttt{ALEA()}
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\end{center}
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\pause
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Renvoie un nombre aléatoire entre 0 et 1
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\Ovalbox{\texttt{F9}} tirer un nouveau nombre
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\end{block}
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\pause
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\begin{block}{Conditions}
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Si ... Alors ... Sinon ...
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\begin{center}
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\texttt{SI(...; ... ; ...)}
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\end{center}
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\end{block}
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\end{frame}
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\begin{frame}{Marche aléatoire}
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\begin{center}
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\begin{tikzpicture}[scale=1.5]
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\filldraw[very thick, ->] (-2.4,0) -- (2.4,0);
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\draw[step=1] (-2,-0.1) grid (2,0.1);
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\draw (0, 0) node [below] {0};
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\draw (1, 0) node [below] {1};
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\draw (2, 0) node [below] {2};
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\draw (-1, 0) node [below] {-1};
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\draw (-2, 0) node [below] {-2};
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% \filldraw[very thick, ->] (0.1,0.3) -- (0.9,0.3) ;
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% \filldraw[very thick, ->] (-0.1,0.3) -- (-0.9,0.3) ;
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\filldraw[very thick, ->] (0.1,0.3) -- node[midway,above] {0,5} (0.9,0.3) ;
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\filldraw[very thick, ->] (-0.1,0.3) -- node[midway,above] {0,5} (-0.9,0.3) ;
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\end{tikzpicture}
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\end{center}
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P(\mbox{aller à droite ou }+1) = 0.5\\
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P(\mbox{aller à gauche ou }-1) = 0.5
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\pause
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\begin{block}{Où sera-t-on au bout de 100 étapes?}
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\pause
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\begin{center}
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\includegraphics[scale=0.2]{./fig/tabl_marche_alea}
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\end{center}
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\end{block}
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\end{frame}
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\begin{frame}{Marche aléatoire}
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\framesubtitle{Direction favorite}
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\begin{center}
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\begin{tikzpicture}[scale=1.5]
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\filldraw[very thick, ->] (-2.4,0) -- (2.4,0);
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\draw[step=1] (-2,-0.1) grid (2,0.1);
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\draw (0, 0) node [below] {0};
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\draw (1, 0) node [below] {1};
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\draw (2, 0) node [below] {2};
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\draw (-1, 0) node [below] {-1};
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\draw (-2, 0) node [below] {-2};
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% \filldraw[very thick, ->] (0.1,0.3) -- (0.9,0.3) ;
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% \filldraw[very thick, ->] (-0.1,0.3) -- (-0.9,0.3) ;
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\filldraw[very thick, ->] (0.1,0.3) -- node[midway,above] {p} (0.9,0.3) ;
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\filldraw[very thick, ->] (-0.1,0.3) -- node[midway,above] {...} (-0.9,0.3) ;
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\end{tikzpicture}
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\end{center}
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P(\mbox{aller à droite ou }+1) = p\\
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P(\mbox{aller à gauche ou }-1) = ...
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\pause
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\begin{block}{Où sera-t-on au bout de 100 étapes}
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\begin{itemize}
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\item quand $p=0.6$?
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\item quand $p=0.4$?
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\item quand $p=0.9$?
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\end{itemize}
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\end{block}
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\end{frame}
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\begin{frame}{Marché noir}
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\framesubtitle{Simulation}
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$X$ variable aléatoire respectant la loi suivante
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\begin{center}
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\small
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\begin{tabular}[h]{|p{2cm}| *{6}{c|}}
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\hline
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Valeur & 10 & 40 & 150 & 200 & 250 \\ \hline
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Probabilité& 0.10 & 0.05 & 0.50 & 0.05 & 0.30\\
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\hline
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\end{tabular}
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\end{center}
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Simuler cette variable pour calculer les gains du professeur après 10 confiscations.
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\end{frame}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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