% Created by datatooltk on Mon Jul 01 15:34:00 BST 2013
\DTLifdbexists{problems}%
{\PackageError{datatool}{Database `problems'
already exists}{}%
\aftergroup\endinput}{}%
\bgroup\makeatletter
\dtl@message{Reconstructing database
`problems'}%
\expandafter\global\expandafter
\newtoks\csname dtlkeys@problems\endcsname
\expandafter\global
 \csname dtlkeys@problems\endcsname={%
%
\db@plist@elt@w %
\db@col@id@w 1%
\db@col@id@end@ %
\db@key@id@w Question%
\db@key@id@end@ %
\db@type@id@w 0%
\db@type@id@end@ %
\db@header@id@w Question%
\db@header@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@plist@elt@end@ %
\db@plist@elt@w %
\db@col@id@w 2%
\db@col@id@end@ %
\db@key@id@w Answer%
\db@key@id@end@ %
\db@type@id@w 0%
\db@type@id@end@ %
\db@header@id@w Answer%
\db@header@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@plist@elt@end@ %
\db@plist@elt@w %
\db@col@id@w 3%
\db@col@id@end@ %
\db@key@id@w Level%
\db@key@id@end@ %
\db@type@id@w 1%
\db@type@id@end@ %
\db@header@id@w Level%
\db@header@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@plist@elt@end@ %
}%
\expandafter\global\expandafter
\newtoks\csname dtldb@problems\endcsname
\expandafter\global
\csname dtldb@problems\endcsname={%
%
\db@row@elt@w %
\db@row@id@w 1%
\db@row@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@elt@w Describe what is meant by object-oriented programming.%
\db@col@elt@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@elt@w %
\db@col@elt@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@col@elt@w 1%
\db@col@elt@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@row@id@w 1%
\db@row@id@end@ %
\db@row@elt@end@ %
\db@row@elt@w %
\db@row@id@w 2%
\db@row@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@elt@w Describe what is meant by the term \emph {inheritance} in object-oriented programming. Use examples. %
\db@col@elt@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@elt@w %
\db@col@elt@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@col@elt@w 1%
\db@col@elt@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@row@id@w 2%
\db@row@id@end@ %
\db@row@elt@end@ %
\db@row@elt@w %
\db@row@id@w 3%
\db@row@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@elt@w A coin is weighted so that heads is four times as likely as tails. Find the probability that:
\begin {inparaenum}
  \item tails appears,
  \item heads appears
\end {inparaenum} %
\db@col@elt@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@elt@w Let $p=P(T)$, then $P(H)=4p$. We require $P(H)+P(T)=1$, so $4p+p=1$, hence $p=\frac {1}{5}$. Therefore: 
\begin{inparaenum}
 \item $P(T)=\frac {1}{5}$,
 \item $P(H)=\frac {4}{5}$ 
\end{inparaenum}  %
\db@col@elt@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@col@elt@w 2%
\db@col@elt@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@row@id@w 3%
\db@row@id@end@ %
\db@row@elt@end@ %
\db@row@elt@w %
\db@row@id@w 4%
\db@row@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@elt@w Under which of the following functions does $S=\{a_1,a_2\}$ become a probability space? \DTLpar \begin{inparaenum}
 \begin {tabular}{ll}
 \item $P(a_1)=\frac {1}{3}$, $P(a_2)=\frac {1}{2}$ & \item \label {validprobspacescorrect1} $P(a_1)=\frac {3}{4}$, $P(a_2)=\frac {1}{4}$ \\ 
 \item \label {validprobspacescorrect2} $P(a_1)=1$, $P(a_2)=0$ & \item $P(a_1)=\frac {5}{4}$, $P(a_2)=-\frac {1}{4}$ 
 \end {tabular}
\end {inparaenum}  %
\db@col@elt@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@elt@w \ref {validprobspacescorrect1} and \ref {validprobspacescorrect2} %
\db@col@elt@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@col@elt@w 2%
\db@col@elt@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@row@id@w 4%
\db@row@id@end@ %
\db@row@elt@end@ %
\db@row@elt@w %
\db@row@id@w 5%
\db@row@id@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@elt@w \label {ex:digraph} Identify, if any, the sinks and sources of the digraph shown in Figure~\ref {fig:digraph}. \DTLpar \begin {figure}[tbh] \centering \begin {tikzpicture}[every node/.style={draw,circle}] \path (0,0) node (A) {$A$} (1,0) node (B) {$B$} (0,1) node (C) {$C$}; \draw [->] (A) -- (B); \draw [->] (B) -- (C); \draw [->] (A) -- (C); \end {tikzpicture} \DTLpar \caption {Digraph for Question~\ref {ex:digraph}} \label {fig:digraph} \end {figure}   %
\db@col@elt@end@ %
\db@col@id@w 1%
\db@col@id@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@elt@w $A$ is a source and $C$ is a sink.  %
\db@col@elt@end@ %
\db@col@id@w 2%
\db@col@id@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@col@elt@w 2%
\db@col@elt@end@ %
\db@col@id@w 3%
\db@col@id@end@ %
\db@row@id@w 5%
\db@row@id@end@ %
\db@row@elt@end@ %
}%
\expandafter\global
 \expandafter\newcount\csname dtlrows@problems\endcsname
\expandafter\global
 \csname dtlrows@problems\endcsname=5\relax
\expandafter\global
 \expandafter\newcount\csname dtlcols@problems\endcsname
\expandafter\global
 \csname dtlcols@problems\endcsname=3\relax
\expandafter
 \gdef\csname dtl@ci@problems@Question\endcsname{1}%
\expandafter
 \gdef\csname dtl@ci@problems@Answer\endcsname{2}%
\expandafter
 \gdef\csname dtl@ci@problems@Level\endcsname{3}%
\egroup