Machine learning

53. Suppose that Ali can decide to go to work by one of three modes of transportation, car, bus, or train. Because of high traffic, if he decides to go by car, there is a 60% chance he will be late. If he goes by bus, the probability of being late is 30%. The train is late with a probability of only 15%. One day Ali is late. Answer the following questions given that p(car)=6/12, p(bus)=1/12, p(train) = 5/12 Hint: use hMAP = arg max P(h/D) = arg max P(D/h) Ph) 1. Compute plate/car)*p(car)? a, 1/12 20 b, 0.4 C 0.2 d, 0.3 Compute pllate/train)* p(train)? a, 0.033 b. 0.062 C 0.2 d. 0.1 IIL, Compute plate/bus)*P(bus)? a 0.025 b, 0.1 C 0.041 , 0.4 IV. What mode of transportation did he use? a. Train b, Car C. Bus d. On foot