[PS] Prepare next section and start

semester4/ps/ps-jh/parts/02_discrete-continuous-rv/00_continuity-of-pdf.tex

@@ -1 +1,9 @@
 % P34
+\subsection{Stetigkeit der Verteilungsfunktion}
+\shorttheorem[W. Punkt] Für Z.V $\cX$ und V.F $F_\cX$ gilt $\forall a \in \R$\\
+$\P[\cX = a] = F(a) - F(a-)$ mit $F(a-) := \underset{h\downarrow 0}{\lim} F(a - h)$.
+
+\begin{itemize}[label=$\bm{\rightarrow}$]
+    \item $F$ in $a$ n. stetig, dann ``Sprunghöhe''\\ $F(a) - F(a-) = \P[\cX = a]$
+    \item $F$ stetig in $a$, dann $\P[\cX = a] = 0$
+\end{itemize}

semester4/ps/ps-jh/parts/02_discrete-continuous-rv/01_almost-certain-events.tex

@@ -0,0 +1,5 @@
+% P35
+\subsection{Fast sichere Ereignisse}
+\shortdefinition $A \in \cF$ tritt \bi{fast sicher} (f.s.) ein, falls $\P[A] = 1$.
+
+\shortremark Für allg. Mengen: $A$ f.s., falls $\exists A' \subseteq A \divider \P[A'] = 1$

semester4/ps/ps-jh/parts/02_discrete-continuous-rv/02_discrete-rv.tex

@@ -0,0 +1 @@
+\subsection{Diskrete Zufallsvariablen}

semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex

@@ -2,6 +2,8 @@
 
 \PassOptionsToPackage{skip=0pt}{parskip}
 \input{~/projects/latex/janishutz-helpers.tex}
+
+\usepackage{bm}
 \usepackage{lmodern}
 \setFontType{sans}
 
@@ -37,6 +39,11 @@
 \newsectionNoPB
 \section{Diskrete und stetige ZV}
 \input{parts/02_discrete-continuous-rv/00_continuity-of-pdf.tex}
+\input{parts/02_discrete-continuous-rv/01_almost-certain-events.tex}
+\input{parts/02_discrete-continuous-rv/02_discrete-rv.tex}
+\input{parts/02_discrete-continuous-rv/03_examples-disc-rv.tex}
+\input{parts/02_discrete-continuous-rv/04_cont-dist.tex}
+\input{parts/02_discrete-continuous-rv/05_examples-cont-rv.tex}
 % \input{parts/02_discrete-continuous-rv/}