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Fix typos

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This commit is contained in:
Andreas Tsouchlos 2026-01-30 13:01:57 +01:00
parent 3fc312ba9d
commit 000749add1
1 changed files with 3 additions and 3 deletions
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src/2026-01-30/presentation.tex
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@ -515,7 +515,7 @@
\begin{greenblock}{Kovarianz} \begin{greenblock}{Kovarianz}
\vspace*{-8mm} \vspace*{-8mm}
\begin{align*} \begin{align*}
\text{cov}(X,Y) = E(X,Y) - E(X)E(Y) \text{cov}(X,Y) = E(XY) - E(X)E(Y)
\end{align*} \end{align*}
\end{greenblock} \end{greenblock}
\end{columns} \end{columns}
@ -855,7 +855,7 @@
wenn $Np(1-p) \ge 9$: wenn $Np(1-p) \ge 9$:
\vspace{-2mm} \vspace{-2mm}
\begin{align*} \begin{align*}
P_X(a < S_N \le b) = \nsum_{k=a}^{b} \binom{N}{k} p^k(1-p)^{N-k} P_{S_N}(a < S_N \le b) = \nsum_{k=a}^{b} \binom{N}{k} p^k(1-p)^{N-k}
\hspace{5mm}\approx\hspace{5mm} \hspace{5mm}\approx\hspace{5mm}
\Phi\left(\frac{b - Np}{\sqrt{Np(1-p)}}\right) - \Phi\left(\frac{b - Np}{\sqrt{Np(1-p)}}\right) -
\Phi\left(\frac{a - Np}{\sqrt{Np(1-p)}}\right) \Phi\left(\frac{a - Np}{\sqrt{Np(1-p)}}\right)
@ -1037,7 +1037,7 @@
\end{gather*} \end{gather*}
\vspace*{-7mm} \vspace*{-7mm}
\begin{align*} \begin{align*}
P_X(a < S_N \le b) &= \nsum_{k=a}^{b} \binom{N}{k} P_{S_N}(a < S_N \le b) &= \nsum_{k=a}^{b} \binom{N}{k}
p^k(1-p)^{N-k} \\ p^k(1-p)^{N-k} \\
& \approx & \approx
\Phi\left(\frac{b - Np}{\sqrt{Np(1-p)}}\right) - \Phi\left(\frac{b - Np}{\sqrt{Np(1-p)}}\right) -