- a)
- Draw a Bayesian network for this domain, assuming that failure of the gauge is independent of the core temperature. Explain every step of your construction.
- b)
- Construct the conditional probability tables for the Bayesian network, using the following information: The gauge shows the correct temperature 99% of the time, when it is working, but only 70% of the time when it is faulty. The alarm always works, unless it is faulty. If it is faulty, it goes off 5% of the time, no matter what the gauge shows. The gauge is faulty 2% of the time, the alarm is faulty 0.5% of the time.
- c)
- Suppose we know that the gauge is working and the alarm sounds. Calculate the probability that the core temperature is too high as a function of the prior probability of the core temperature being too high .