Add green blocks to slides
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@ -80,40 +80,56 @@
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\begin{frame}
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\begin{frame}
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\frametitle{Relevante Theorie I}
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\frametitle{Relevante Theorie I}
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\begin{gather*}
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\begin{columns}
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f_X(x) := \frac{d}{dx} F_X(x) \\
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\column{\kitthreecolumns}
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P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\
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\begin{greenblock}{Zufallsvariablen (ZV)}%
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E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx
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\vspace*{-6mm}
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\end{gather*}
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\begin{gather*}
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f_X(x) := \frac{d}{dx} F_X(x) \\
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P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\
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E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx
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\end{gather*}
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\end{greenblock}
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\begin{figure}
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\column{\kitthreecolumns}
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\centering
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\begin{greenblock}{Important Equations}%
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\vspace*{-6mm}
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\begin{gather*}
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f_X(x) := \frac{d}{dx} F_X(x) \\
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P(X \le x) = F_X(x) = \int_{-\infty}^{x} f_X(t) dt \\
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E(X) = \int_{-\infty}^{\infty} x\cdot f_X(x) dx
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\end{gather*}
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\end{greenblock}
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\end{columns}
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\begin{subfigure}[c]{0.5\textwidth}
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\begin{greenblock}{Normalverteilung}
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\centering
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\begin{columns}
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\column{\kitthreecolumns}
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\begin{gather*}
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\begin{gather*}
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\text{Normalverteilung:} \hspace{8mm}
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\text{Normalverteilung:} \hspace{8mm}
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f_X(x) = \frac{1}{\sqrt{2\pi\sigma^2}}
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f_X(x) = \frac{1}{\sqrt{2\pi\sigma^2}}
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e^{-\frac{(x - \mu)^2}{2\sigma^2}}
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e^{-\frac{(x - \mu)^2}{2\sigma^2}}
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\end{gather*}
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\end{gather*}
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\end{subfigure}%
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\begin{subfigure}[c]{0.4\textwidth}
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\column{\kitthreecolumns}
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\centering
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\begin{figure}
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\begin{tikzpicture}
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\centering
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\begin{axis}[
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\begin{tikzpicture}
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\begin{axis}[
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domain=-4:4,
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domain=-4:4,
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samples=100,
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samples=100,
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width=\textwidth,
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width=11cm,
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height=0.5\textwidth,
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height=6cm,
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ticks=none,
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ticks=none,
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xlabel={$x$},
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xlabel={$x$},
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ylabel={$f_X(x)$}
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ylabel={$f_X(x)$}
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]
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]
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\addplot+[mark=none, line width=1pt] {exp(-x^2)};
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\addplot+[mark=none, line width=1pt] {exp(-x^2)};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\end{subfigure}
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\end{figure}
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\end{figure}
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\end{columns}
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\end{greenblock}
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\end{frame}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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