report/ass2-1.tex

   1
   2 \chapter{Probabilistic representation and reasoning (and burglars)}
   3 \section{Bayesian network and the conditional probability tables}
   4 \begin{figure}[H]
   5         \caption{Bayesian network, visual representation}
   6         \centering
   7         %\includegraphics[scale=0.5]{d1.eps}
   8 \end{figure}
   9 \strut\\
  10 \begin{tabular}{|l|ll|}
  11         \hline
  12         & \multicolumn{2}{c|}{Radio}\\
  13         Earthquake & T & F\\
  14         \hline
  15         T & $0.9998$ & $0.0002$\\
  16         F & $0.0002$ & $0.9998$\\
  17         \hline
  18 \end{tabular}
  19 %
  20 \begin{tabular}{|l|ll|}
  21         \hline
  22         & \multicolumn{2}{c|}{$I_1$}\\
  23         Earthquake & T & F\\
  24         \hline
  25         T & $0.2$ & $0.08$\\
  26         F & $0$ & $1$\\
  27         \hline
  28 \end{tabular}
  29 %
  30 \begin{tabular}{|l|ll|}
  31         \hline
  32         & \multicolumn{2}{c|}{$I_2$}\\
  33         Burglar & T & F\\
  34         \hline
  35         T & $0.95$ & $0.05$\\
  36         F & $0$ & $1$\\
  37         \hline
  38 \end{tabular}
  39 %
  40 \begin{tabular}{|ll|ll|}
  41         \hline
  42         && \multicolumn{2}{c|}{Alarm}\\
  43         $I_1$ & $I_2$ & T & F\\
  44         \hline
  45         T & T & $1$ & $0$\\
  46         T & F & $1$ & $0$\\
  47         F & T & $1$ & $0$\\
  48         F & F & $0$ & $1$\\
  49         \hline
  50 \end{tabular}
  51 %
  52 \begin{tabular}{|l|ll|}
  53         \hline
  54         & \multicolumn{2}{c|}{Watson}\\
  55         Alarm & T & F\\
  56         \hline
  57         T & $0.8$ & $0.2$\\
  58         F & $0.4$ & $0.6$\\
  59         \hline
  60 \end{tabular}
  61 %
  62 \begin{tabular}{|l|ll|}
  63         \hline
  64         & \multicolumn{2}{c|}{Gibbons}\\
  65         Alarm & T & F\\
  66         \hline
  67         T & $0.99$ & $0.01$\\
  68         F & $0.04$ & $0.96$\\
  69         \hline
  70 \end{tabular}