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b/Complementaire/02_Inference_Baysienne/2P_tests.tex index 71d4f2f..9682a0b 100755 --- a/Complementaire/02_Inference_Baysienne/2P_tests.tex +++ b/Complementaire/02_Inference_Baysienne/2P_tests.tex @@ -31,34 +31,57 @@ \pause Je suis testé positif. Suis-je infecté? \pause + Est-ce que la proportion d'infectés autour de moi influence la réponse? \end{frame} \begin{frame}{Cas extrême} - Dériver la fonction suivante + \vfill + Imaginons 3 cas différents (a priori) + \vfill + \begin{itemize} + \item J'ai aucune chance d'être contaminé. + \item J'ai une chance sur \np{100} d'être contaminé + \item J'ai une chance sur 2 d'être contaminé + \end{itemize} + + \vfill + Je suis testé positif. Suis-je infecté? + \pause + \vfill + Évaluer votre certitude d'être infecté. \[ - f(x) = (2x-4)e^{x} = + > 10\% \qquad > 50\% \qquad > 90\% \qquad > 99\% \] + \vfill \end{frame} -\begin{frame}{Calcul 3} - Tracer le tableau de signe de - \[ - f(x) = (3x + 1) e^{x} - \] +\begin{frame}{Données Covid} + \includegraphics[scale=0.3]{./fig/resultat_test.jpg} \end{frame} -\begin{frame}[fragile]{Calcul 4} - Déterminer la quantité suivante - \[ - \lim_{x \rightarrow +\infty} x^2 + 1 = - \] -\end{frame} +\begin{frame}[fragile]{Scénario Orange} -\begin{frame}{Fin} + Compléter le tableau en utilisant les données du test et du scénario orange. \begin{center} - On retourne son papier. + \begin{tabular}{} + \begin{tabular}{|*{4}{p{2.3cm}|}} + \hline + & Infecté & Non infecté & Total \\ + \hline + Test positif & & & \\ + \hline + Test non positif & & & \\ + \hline + Total & & & 1000 \\ + \hline + \end{tabular} + \end{tabular} \end{center} + Je suis positif. Quelle est la probabilité d'être infecté? + + Reproduire ce travail pour les autres autres scénarios. + \end{frame}

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