Problem 2 [20 points]: Bayes Blind Spot Modern cars provide 'blind-spot monitoring', a light which activates when an adjacent car is de- tected. Unfortunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated 99.9% of the time. However, the system accidentally activates even when another car is not in the blind spot, this occurs 3% of the time. Assume that another car is in one's blind-spot 2% of the time. i What is the probability that another car is actually in the blind-spot given the light is on? ii Given the blind-spot light is off, how often is another car in the blind-spot?