[methods] continuous dist. & pdfs

diff --git a/methods/statistics.tex b/methods/statistics.tex
index 56cd566e151553f4d58f293dae4b6a6fc016c311..8ac24bff039f283e48ad2349b3bcd2cdae081211 100644 (file)
--- a/methods/statistics.tex
+++ b/methods/statistics.tex
@@ -174,4 +174,23 @@
 
   \[ \Pr(X \ge a) = 1 - \Pr(X < a) \]
 
 
   \[ \Pr(X \ge a) = 1 - \Pr(X < a) \]
 

+  \section{Continuous probability}
+
+  \subsection*{Continuous random variables}
+
+  \begin{itemize}
+    \item a variable that can take any real value in an interval
+  \end{itemize}
+
+  \subsection*{Probability density functions}
+
+  \begin{itemize}
+    \item area under curve \( = 1 \implies \int f(x) \> dx = 1\)
+    \item \(f(x) \ge 0 \forall x\)
+    \item pdfs may be linear
+    \item must show sections where \(f(x) = 0\) (use open/closed circles)
+  \end{itemize}
+
+  \[ Pr(a \le X \le b) = \int^b_a f(x) \> dx \]
+

 \end{document}
 \end{document}