From 555d7d0bb00f22e19441f5b3af27c5a33bbe38fc Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 1 Jun 2020 10:18:13 +0200 Subject: [PATCH] =?UTF-8?q?Feat:=20D=C3=A9but=20du=20chapitre=20sur=20la?= =?UTF-8?q?=20simulation=20de=20la=20loi=20binomiale?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../1E_rappels_simulation.pdf | Bin 0 -> 4256727 bytes .../2E_simulation_overbooking_tbl.pdf | Bin 0 -> 163670 bytes .../2E_simulation_overbooking_tbl.tex | 28 + .../Simulation_Binomiale/banque.tex | 57 ++ .../Simulation_Binomiale/fig/vol1.pdf | Bin 0 -> 38284 bytes .../Simulation_Binomiale/fig/vol1.svg | 673 ++++++++++++++ .../Simulation_Binomiale/fig/vol100.pdf | Bin 0 -> 44338 bytes .../Simulation_Binomiale/fig/vol100.svg | 838 ++++++++++++++++++ .../fig/vol100_overbooking.pdf | Bin 0 -> 43649 bytes .../fig/vol100_overbooking.svg | 787 ++++++++++++++++ .../Simulation_Binomiale/index.rst | 25 + 11 files changed, 2408 insertions(+) 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Si un passagers a réservé mais qu'il n'y a plus de place dans l'avion, il faudra par contre le dédommager. C'est pour cela qu'il faut évaluer le risque de surréservation. + + On considère une ligne aérienne entre deux villes pour laquelle: + \begin{itemize} + \item Tous les avions ont 50 places. + \item 53 réservations sont vendues pour chaque vol (on supposera qu'elles sont toutes vendues) + \item Chaque personne ayant réservé a 9 chance sur 10 de se présenter à l'embarquement ( donc 1 chance sur 10 de ne pas se présenter). + \item Chaque personne ayant réservé une place se présente au non à l'embarquement indépendamment des autres personnes ayant réservé sur le même vol. + \end{itemize} + + Pour évaluer les risques liés à une surréservation, nous allons \textbf{simuler} avec le tableur plusieurs vols sur cette ligne. + + \begin{enumerate} + \item On commence par simuler un vol où 53 places ont été vendues. + + \begin{minipage}{0.6\textwidth} + Pour savoir si une personne se présente ou non à l'embarquement, nous utiliserons la commande \calc{=SI(ALEA()>0.9;0;1)}. Cette commande renvoie: + \begin{itemize} + \item 0 si le passager ne s'est pas présenté + \item 1 s'il s'est présenté. + \end{itemize} + \begin{enumerate} + \item Réaliser la simulation pour le premier vol + \item Combien de personnes se sont-elles présentées à l'embarquement? + \item Quelle formule peut-on rentrer en \texttt{B56} pour calculer ce nombre? + \end{enumerate} + \end{minipage} + \begin{minipage}{0.4\textwidth} + \includegraphics[scale=0.27]{./fig/vol1} + \end{minipage} + + \item + \begin{enumerate} + \item Réaliser cette simulation pour 100 vols de cette ligne. + + \hspace{-2cm} + \includegraphics[scale=0.17]{./fig/vol100} + + \item Quelle formule doit-on entrer en \texttt{CX56} pour calculer la moyenne du nombre de passager? + \item Pensez vous que le risque de surréservation est grand? + \end{enumerate} + \item On veut maintenant évaluer le risque de surréservation. Pour savoir si un vol est en surréservation, on utilise la commande \calc{=SI(nbr_passagers > 50;1;0)} (avec \lstinline|nbr_passagers| à remplacer le nom de la case) + \begin{enumerate} + \item Compléter le tableau pour connaître les vols en surréservation. + + \hspace{-2cm} + \includegraphics[scale=0.15]{./fig/vol100_overbooking} + \item Quelle formule doit-on rentrer en \texttt{CX59} pour compter le nombre de vols en surréservation? + \item Quelle formule doit-on entrer dans \texttt{CX61} pour calculer la fréquence des vols en surréservation? + \end{enumerate} + \item Pensez vous que la compagnie va devoir souvent dédommager des voyageurs? + \item On suppose qu'un billet coûte 100\euro. Quand un client doit être dédommagé, cela coûte 250\euro à la compagnie. Expliquer pourquoi il est intéressant pour la compagnie de vendre des billets en surréservation. + \end{enumerate} +\end{exercise} +\collectexercisesstop{banque} diff --git a/1ST/Probabilite_statistiques/Simulation_Binomiale/fig/vol1.pdf b/1ST/Probabilite_statistiques/Simulation_Binomiale/fig/vol1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5bc9cd21e83ebe143d846bad7b6e31268226e1f0 GIT binary patch literal 38284 zcmeFZWmud|vH&``1lQp1?(RMWcTMo%t^tA*+}#Np+%*u~-2#IIm*6Bog5AmYg`Aw- zy?b`g?w;rVxHHeZ(ruxx^hz zr##oGqIkzoMI~c4p|WMTS0OegL=q9r>`Z?)0(|wO`9IqH;|y*!8!z{d=RfY)e+lOg zaY%W%$f&u1ML{Yk_@e;)VKHI_-;lCMh>^09vX~fwk6;0TAN+Y_(N;3HGBa`c1IB}k zlH`Uxd%Z}$V_5vMs5D-$az&ku;7sK9VPS>pZ05-E$ir-Ke}MdKv8tJ~y{nUnnKS7R8LR#nRX-c}LqtDh|J#7%`^DCuZ2T1JAH1u% z8oT@<207bDIcQm${ussVtbYK=nps-BbRlJD=lJ7R!rsQ-NzK8?1T4A##u$qnSO`uI z_CJRDuO_gFTe>(an>k6?+dA0W{g5v2A6On=3`q&~zj`emK0bT`paG@jqyZ2R5P%;MnAOJ*G?+zrD99gAHP8SMP>@hywh@qF!AEeDz;^%`Sab|HOe``s 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