From 84cdf5bfb41b31e07afcb7d8b1c36cd2e3d3a5b4 Mon Sep 17 00:00:00 2001
From: Santo Cariotti <santo@dcariotti.me>
Date: Tue, 21 Dec 2021 11:41:07 +0100
Subject: mms: add lecture

---
 Year_3/MMS/lecture_20211214.m | 31 +++++++++++++++++++++++++++++++
 1 file changed, 31 insertions(+)
 create mode 100644 Year_3/MMS/lecture_20211214.m

(limited to 'Year_3')

diff --git a/Year_3/MMS/lecture_20211214.m b/Year_3/MMS/lecture_20211214.m
new file mode 100644
index 0000000..f75e975
--- /dev/null
+++ b/Year_3/MMS/lecture_20211214.m
@@ -0,0 +1,31 @@
+f = @(x) normpdf(x, 5, 1);
+
+x = -15:0.1:25;
+y = f(x);
+% plot(x, y);
+
+% probability 'x' between 2 and 6
+integral(f, 2, 6)
+
+norminv(0.8, 5, 1)
+integral(f, -inf, 5.8416) % ans = 0.8
+
+% t-student
+f1 = @(x) tpdf(x, 3);
+f2 = @(x) tpdf(x, 8);
+
+x = 0:0.1:10;
+y1 = f1(x);
+y2 = f2(x);
+
+plot(x, y1, 'X', x, y2, 'O');
+
+% Chi^2
+f = @(x) chi2pdf(x, 60);
+x = 1:0.01:100;
+y = f(x);
+plot(x, y);
+
+% ----
+u = (53.82 - 54.41) / sqrt(0.1/5+0.1/6);
+norminv(1-0.05, 0, 1)
\ No newline at end of file
-- 
cgit v1.2.3-18-g5258