From 8430a7f363589260c809f180bfa2c0a7097d5e6b Mon Sep 17 00:00:00 2001
From: Julian T <julian@jtle.dk>
Date: Fri, 12 Mar 2021 11:56:20 +0100
Subject: Added assignments for prob

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 sem6/prob/stat2/opgaver.tex | 23 +++++++++++++++++++++++
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+\title{Opgaver til Statistics Module 2}
+
+\section{Exercise 2}
+
+\subsection{Opgave A}
+
+Her kan vi sige at $y_i \sim \mathcal{N}(S', \sigma^2)$ hvor $S' = \alpha S$ og derfor er det at estimere $S'$ og isolere for $d$.
+
+Først kan vi estimere for $S'$, og eftersom $y_i$ er normal fordelt kan man estimere mean $S'$ med: \[
+    \hat{\mu} = \sum_{i=1}^{n} \frac {x_i} n
+.\] 
+
+Nu kan vi isolere for $d$.
+\begin{align*}
+    S' = \hat{\mu} = S \cdot \frac {0.5} d = \frac 1 n \sum_{i=1}^{n} x_i \\
+    d = S \cdot \frac{0.5 n}{\sum_{i=1}^{n} x_i}
+\end{align*}
+
+\section{Exercise 3}
+
+\subsection{Part 1}
+
+Okay jeg fortsætter på papir.
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