Add summary slide for theory 1

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Andreas Tsouchlos 2026-01-21 10:26:08 +01:00
parent 41294cf3bf
commit 31b40de191

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@ -116,6 +116,57 @@
% TODO: Write % TODO: Write
\begin{frame}
\frametitle{Zusammenfassung}
\vspace*{-15mm}
\begin{columns}[t]
\column{\kitthreecolumns}
\begin{greenblock}{Korrelationskoeffizient}
\vspace*{-8mm}
\begin{align*}
\rho_{XY} = \frac{\text{cov}(X,Y)}{\sqrt{V(X)V(Y)}}
\end{align*}
\end{greenblock}
\column{\kitthreecolumns}
\begin{greenblock}{Kovarianz}
\vspace*{-8mm}
\begin{align*}
\text{cov}(X,Y) = E(X,Y) - E(X)E(Y)
\end{align*}
\end{greenblock}
\end{columns}
\begin{columns}[t]
\column{\kitthreecolumns}
\begin{greenblock}{Erwartungswert}
\vspace*{-8mm}
\begin{align*}
E(X) &= \int_{-\infty}^{\infty} x f_X(x) dx \\
E(g(X)) &= \int_{-\infty}^{\infty} g(x) f_X(x) dx
\end{align*}
\begin{align*}
E(X + b) &= E(X) + b \\
E(X + Y) &= E(X) + E(Y) \\
E(aX) &= a E(X)
\end{align*}
\end{greenblock}
\column{\kitthreecolumns}
\begin{greenblock}{Varianz}
\vspace*{-8mm}
\begin{align*}
V(X) &= E\big( (X - E(X))^2 \big)
\end{align*}
\begin{align*}
V(X) &= E(X^2) - (E(X))^2 \\
V(aX) &= a^2 V(X) \\
V(X + b) &= V(X)
\end{align*}
\end{greenblock}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Aufgabe} \subsection{Aufgabe}
@ -336,7 +387,8 @@
P(125 \le \tilde{S}_N \le 180) P(125 \le \tilde{S}_N \le 180)
\end{align*} \end{align*}
\end{minipage} \end{minipage}
\pause\begin{minipage}[t]{0.3\textwidth} \pause
\begin{minipage}[t]{0.3\textwidth}
\centering \centering
\vspace*{-10mm} \vspace*{-10mm}
\begin{align*} \begin{align*}