From 2a5d4f49fb34e78ff4ce59de9da2f4b6cba16c0a Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Tue, 27 Aug 2019 14:48:57 +1000 Subject: [PATCH] [methods] normal distributions on CAS --- methods/statistics.tex | 8 ++++++++ 1 file changed, 8 insertions(+) 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} -- 2.47.1