Problem 5 In Table 10.9 we gave a utility function for the missing car problem, for the decision network shown in Figure 10.29, with expected utility results in Table 10.10.

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 the highest priority is not wasting police time.

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