ding

[ker2014-2.git] / report / ass2-1.tex

diff --git a/report/ass2-1.tex b/report/ass2-1.tex
index 69b4850..66fed8f 100644 (file)
--- a/report/ass2-1.tex
+++ b/report/ass2-1.tex
@@ -185,11 +185,78 @@ $P(burglary)\cdot\left(
 A bayesian network representation of the burglary problem with a multitude of
 houses and burglars is possible but would be very big and tedious because all
 the constraints about the burglars must be incorporated in the network.
-The network would look something like this:
+The network would look something like in figere~\ref{bnnetworkhouses}
+
+\begin{tabular}{|l|l|}
+       \hline
+       Joe &\\
+       \hline
+       T & $\nicefrac{5}{7}$\\
+       F & $\nicefrac{2}{7}$\\
+       \hline
+\end{tabular}
+\begin{tabular}{|l|l|}
+       \hline
+       William &\\
+       \hline
+       T & $\nicefrac{5}{7}$\\
+       F & $\nicefrac{2}{7}$\\
+       \hline
+\end{tabular}
+\begin{tabular}{|l|l|}
+       \hline
+       Jack & \\
+       \hline
+       T & $\nicefrac{5}{7}$\\
+       F & $\nicefrac{2}{7}$\\
+       \hline
+\end{tabular}
+\begin{tabular}{|l|l|}
+       \hline
+       Averall & \\
+       \hline
+       T & $\nicefrac{5}{7}$\\
+       F & $\nicefrac{2}{7}$\\
+       \hline
+\end{tabular}
+
+\begin{tabular}{|llll|ll|}
+       \hline
+       & & & & Burglary &\\
+       Joe & William & Jack & Averall & T & F\\
+       \hline
+       F& F& F& F & $0$ & $1$\\
+       F& F& F& T & $0$ & $1$\\
+       F& F& T& F & $0$ & $1$\\
+       F& F& T& T & $0$ & $1$\\
+       F& T& F& F & $0$ & $1$\\
+       F& T& F& T & $0$ & $1$\\
+       F& T& T& F & $0$ & $1$\\
+       F& T& T& T & $0$ & $1$\\
+       T& F& F& F & $0$ & $1$\\
+       T& F& F& T & $0$ & $1$\\
+       T& F& T& F & $1$ & $0$\\
+       T& F& T& T & $0$ & $1$\\
+       T& T& F& F & $1$ & $0$\\
+       T& T& F& T & $0$ & $1$\\
+       T& T& T& F & $1$ & $0$\\
+       T& T& T& T & $1$ & $0$\\
+       \hline
+\end{tabular}
+\begin{tabular}{|lll|}
+       \hline
+       & Holmes &\\
+       Burglary & T & F\\
+       \hline
+       T & $0.000153$ & $0.999847$\\
+       F & $0$ & $1$\\
+       \hline
+\end{tabular}
+
 
 \begin{figure}[H]
        \caption{Bayesian network of burglars and houses}
-       \label{bnetwork21}
+       \label{bnnetworkhouses}
        \centering
        \includegraphics[scale=0.5]{d2.eps}
 \end{figure}