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[PS] Some progress
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\item $\cX \sim \text{Bin}(n, p)$: $\E[\cX] = np$
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\item $\cX \sim \text{Bin}(n, p)$: $\E[\cX] = np$
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\item $\cX \sim \text{Poisson}(\lambda)$: $\E[\cX] = \lambda$
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\item $\cX \sim \text{Poisson}(\lambda)$: $\E[\cX] = \lambda$
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\end{itemize}
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\end{itemize}
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\subsubsection{Transformierte Zufallsvariablen}
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\shorttheorem Für $\varphi : \R \rightarrow \R$, $\E[\varphi(\cX)] = \sum_{x \in W} \varphi(x) \cdot \P[\cX = x]$
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