Problem 3 In Table 9.4 we gave a utility function for the missing car problem, for the decision network shown in Figure 9.17, with expected utility results in Table 9.5. Investigate the effects on the decision in the following situations:

1. The same relative ordering of outcome preferences is kept, but the quantitative numbers are all made positive.

2. The preference ordering is changed so that most priority is given to notwasting police time.

3. The rate of car theft in the area is much higher, say 1 in 500.