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zbfuKru;Bw^QQgj=D0&O-C1+llyvlcn<;pw=Y**>)6x(Bk(Z1&9EvM~Sk8KAc()sZ zD>WC>Z|TD7hry?@(+88aFgAf8)0dAQ{}PCbrCG5rx_fs)lkxB`2U4EQ<-Pu@rw^-y(F;BYL`Jd`rHQbmIZ2tc=f!c}>`=c-KMinUnc5Hx=aQS+ wEq409^q0rLGs>z}J55wDeT>t<8 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}