95 lines
2.6 KiB
TeX
95 lines
2.6 KiB
TeX
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\documentclass[a4paper,10pt, landscape, twocolumn]{article}
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\usepackage{myXsim}
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\title{Bilan - marché noir}
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\tribe{Terminale ES}
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\date{Septembre 2019}
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\pagestyle{empty}
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\newcommand\exemple{%
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\paragraph{Exemple - Marché noir}
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$X$ la variable aléatoire décrivant les gains du professeur après avoir confisquer puis revendu un téléphone.
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$X$ a pour loi
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\begin{center}
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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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\begin{tikzpicture}[scale=0.8]
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\draw[very thin, gray] (0,0) grid (10,4);
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\draw[line width=2mm,color=red] plot[ycomb] coordinates {(0.4, 0.4) (1.6, 0.2) (6, 2) (8, 0.2) (10, 1.2)};
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\draw[->, very thick] (-0.5,0) -- (10.5,0);
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\draw[->, very thick] (0,-0.5) -- (0,4.2);
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\draw (0, 4.1) node [above] {Probabilité};
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\draw (0, 4) node [left] {1};
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\draw (0, 2) node [left] {0.5};
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\draw (10, 0) node [above right] {Valeur};
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\draw (10, 0) node [below] {250};
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\draw (1, 0) node [below] {25};
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% \draw[very thick, color=red, |-|] (0.4, 0) -- (0.4, 0.4);
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% \draw[very thick, color=red, |-|] (1.6, 0) -- (1.6, 0.2);
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% \draw[very thick, color=red, |-|] (6, 0) -- (6, 2);
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% \draw[very thick, color=red, |-|] (8, 0) -- (8, 0.2);
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% \draw[very thick, color=red, |-|] (10, 0) -- (10, 1.2);
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\end{tikzpicture}
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\end{center}
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Espérance:
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\vfill
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\paragraph{Exemple - lancé de dé - équipartition}
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$X$ la variable aléatoire décrivant le score obtenu à un lancé de dé.
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$X$ a pour loi
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\begin{center}
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\begin{tabular}[h]{|p{2cm}| *{7}{c|}}
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\hline
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Valeur & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline
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Probabilité& $\frac{1}{6}$ & $\frac{1}{6}$ & $\frac{1}{6}$ & $\frac{1}{6}$ & $\frac{1}{6}$ & $\frac{1}{6}$ \\
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\hline
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\end{tabular}
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\begin{tikzpicture}[scale=0.8]
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\draw[very thin, gray] (0,0) grid (7,4);
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\draw[line width=2mm,color=red] plot[ycomb] coordinates {(1, 1.666)(2, 1.666)(3, 1.666)(4, 1.666)(5, 1.666)(6, 1.666)};
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\draw[->, very thick] (-0.5,0) -- (7.5,0);
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\draw[->, very thick] (0,-0.5) -- (0,4.2);
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\draw (0, 4.1) node [above] {Probabilité};
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\draw (0, 4) node [left] {1};
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\draw (0, 2) node [left] {0.5};
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\draw (7, 0) node [above right] {Valeur};
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\draw (1, 0) node [below] {1};
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\draw (6, 0) node [below] {6};
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\end{tikzpicture}
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\end{center}
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Espérance:
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\vfill
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}
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\begin{document}
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\exemple
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\pagebreak
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\exemple
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\end{document}
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