From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Tue, 27 Aug 2019 04:48:57 +0000 (+1000)
Subject: [methods] normal distributions on CAS
X-Git-Tag: yr12~53
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/2a5d4f49fb34e78ff4ce59de9da2f4b6cba16c0a?ds=inline

[methods] normal distributions on CAS
---

diff --git a/methods/statistics.tex b/methods/statistics.tex
index 1ad360e..3a205e5 100644
--- a/methods/statistics.tex
+++ b/methods/statistics.tex
@@ -197,4 +197,12 @@
 
   \[ Pr(a \le X \le b) = \int^b_a f(x) \> dx \]
 
+  \colorbox{cas}{On CAS:} Interactive \(\rightarrow\) Distribution \(\rightarrow\) \verb;normCdf;.
+
+  For function in domain \(a \le x \le b\):
+
+  \[ \operatorname{E}(X) = \int^b_a x f(x) \> dx \]
+
+  \[ \operatorname{sd}(X) = \sqrt{\operatorname{Var}(X)} = \sqrt{\oepratorname{E}(X^2)-[\operatorname{E}(X)]^2} \]
+
 \end{document}