\begin{enumerate}
\item An insurance company is investigating how often its customers crash their cars.
- Suggest an appropriate sampling frame.
- Describe the sampling units.
- State the advantage of a sample survey over a census in this case.
\item A searchlight is rotating in a horizontal circle. It is assumed that that, at any moment, the centre of its beam is equally likely to be pointing in any direction. The random variable \(X\) represents this direction, expressed as a bearing in the range \(000 ^ { \circ }\) to \(360 ^ { \circ }\).