diff --git a/semester4/ps/ps-rb/main.pdf b/semester4/ps/ps-rb/main.pdf index b97ff52..7d0d5cc 100644 Binary files a/semester4/ps/ps-rb/main.pdf and b/semester4/ps/ps-rb/main.pdf differ diff --git a/semester4/ps/ps-rb/parts/02_variables.tex b/semester4/ps/ps-rb/parts/02_variables.tex index e2cbadf..6c3659b 100644 --- a/semester4/ps/ps-rb/parts/02_variables.tex +++ b/semester4/ps/ps-rb/parts/02_variables.tex @@ -235,7 +235,7 @@ $$ \definition \textbf{Gleichverteilung} $X \sim \mathcal{U}([a,b])$\\ \smalltext{Intuitiv: Zufälliger Punkt in $[a,b]$} $$ - f_X(x) = \begin{cases} + f_X(x) = \frac{1}{b-a}\cdot\mathbb{I}_{\{a\leq x \leq b\}} = \begin{cases} \frac{1}{b-a} & x \in [a,b] \\ 0 & \text{sonst} \end{cases} @@ -247,7 +247,7 @@ $$ \definition \textbf{Exponentialverteilung} $T \sim \text{Exp}(\lambda)$ $$ - f_T(x) = \begin{cases} + f_T(x) = \lambda e^{-\lambda x} \cdot \mathbb{I}_{\{x \geq 0 \}} = \begin{cases} \lambda e^{-\lambda x} & x \geq 0 \\ 0 & x < 0 \end{cases}