diff --git a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_distributions/01_geom.tex b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_distributions/01_geom.tex index 063402b..b301c4b 100644 --- a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_distributions/01_geom.tex +++ b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_distributions/01_geom.tex @@ -14,4 +14,4 @@ Dann $( T := \min\{ n \geq 1 \divider X_n = 1 \} )\sim \text{Geom}(p)$ \shortremark $T = \8$ ist möglich, $\P[T = \8] = 0$ \shorttheorem $T \sim \text{Geom}(p)$, dann\\ -$\forall n \geq 0 \; \forall k \geq 1 \; \P[T \geq n + k | T > n] = \P[T \geq k]$ +$\forall n \geq 0 \; \forall k \geq 1 \; \P[T \geq n + k \divider T > n] = \P[T \geq k]$ diff --git a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/00_eq.tex b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/00_eq.tex index 9e4ad3b..5677f4d 100644 --- a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/00_eq.tex +++ b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/00_eq.tex @@ -2,7 +2,7 @@ \subsubsection{Gleichverteilung} -\shortdefinition $\cX \sim \cU([a, b])$, f +\shortdefinition $\cX \sim \cU([a, b])$, falls $f_\cX = \begin{cases} \frac{1}{b - a} & x \in [a, b] \\ 0 & \text{sonst} diff --git a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/01_exp.tex b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/01_exp.tex index 2ec82bf..ba2f01a 100644 --- a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/01_exp.tex +++ b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/05_cont-distributions/01_exp.tex @@ -7,7 +7,7 @@ $\forall x \in \R f_\cX(x) = \begin{cases} 0 & x < 0 \end{cases}$ -\shortremark[Gedächtnisl.] $\P[\cX > t + s | \cX > s] = \P[\cX > t]$ +\shortremark[Gedächtnisl.] $\P[\cX > t + s \divider \cX > s] = \P[\cX > t]$ \shortremark[Verteilungsfunktion] $F_\cX(x) = \begin{cases} 1 - e^{-\lambda x} & x \geq 0 \\ diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf index 775ea50..60f39a4 100644 Binary files a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf and b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf differ