Given th transition table, and the given emission probabilities, given that on day 0, the initial day, the probability of rain is 50%, and that umbrella was observed on day 1, day 6 and day 20 (and no umbrella was observed on the other days). Probability of weather being sunny on day 3 = Probability of weather being sunny on day 12 = Probability of weather being sunny on day 24 = 0.3 0:9 rai su 0.7 0.1 P(E|X) E P rain umbrella 0.8 rain no umbrella 0.2 sun umbrella 0.2 sun no umbrella 0.8 E E,