From fd07db20d3d08491e662381fb6811c15401cb3e0 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Mon, 23 Mar 2026 11:11:13 +0100 Subject: [PATCH] [PS] Some fixes --- .../03_distributions/01_geom.tex | 2 +- .../05_cont-distributions/00_eq.tex | 2 +- .../05_cont-distributions/01_exp.tex | 2 +- .../probability-and-statistics-cheatsheet.pdf | Bin 342932 -> 341354 bytes 4 files changed, 3 insertions(+), 3 deletions(-) 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] $F_\cX(x) = \begin{cases} 1 - e^{-\lambda x} & x \geq 0 \\ diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf index 775ea50bb057aaf06635bdac24f7f107734c9772..60f39a418a5d621e8c455239c7dfbf939fd4bbd6 100644 GIT binary patch delta 37496 zcmV)8K*qn6_Y~^t6tId3e{&l*lJEW%%o|l}B7<*?Q@K5R*Ulw--b&8S`R<%N(9&3< zO;KKoO7{G6fBm`v3B)>1MKOKy_{Fz>d2#ad%kLgMe|`Dj9}g&WQcUQC zYEl$tq6$Nl5R=o(2d{rFCTH;5cawtf(oBA}EiWgg(8Oo~-cfhmc}45nmEJtdq)d-z?SUp^D%gbAXJrr7h08%m@qCz1oWg1Ww6 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