Hey to all! I need to solve this task! It is the task for Bayesian networks subject. Someone can help?
We have two sensors that are meant to detect extreme temperature, which occurs 20% of the time. The sensors have identical specifications with a false positive rate of 1% and a false negative rate of 3%. If the power is off (dead battery), the sensors will read negative regardless of the temperature. Suppose now that we have two sensor kits: Kit A where both sensors receive power from the same battery, and Kit B where they receive power from independent batteries. Assuming that each battery has a 0.9 probability of power availability, compute the probability of extreme temperature given each of the following scenarios:
(a) The two sensors read negative.