- Artificial Intelligence Question 2 1 (113.01 KiB) Viewed 24 times
Artificial Intelligence. Question 2.
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Artificial Intelligence. Question 2.
Artificial Intelligence. Question 2.
QUESTION 2. For the weather domain, we would have three states, S = {Sunny, Foggy, Rainy), and every day there would be a possibility p(qnlqn-1) of a transition to a (possibly different) state according to the probabilities shown in the following figure. 0.8 Sunny 0.2 0.15 0.2 0.05 0.2 Rainy 0.6 0.5 Foggy 0.3 i. Given that today is foggy, what is the probability that day after tomorrow is sunny? ii. Suppose a person were locked in a room for several days, and he was asked about the weather outside. The only piece of evidence he has is whether the person who comes into the room bringing his daily meal is carrying an umbrella or not. Suppose the probability that the caretaker carries an umbrella is 0.05 if the weather is if it is actually raining, and 0.25 if it is foggy. sunny, 0.85 Assuming that the person does not know what was the weather like on the day he was locked. The next day, the caretaker carried an umbrella into the room. Use Hidden Markov Model (HMM) to compute the probability of the second day is rainy.
QUESTION 2. For the weather domain, we would have three states, S = {Sunny, Foggy, Rainy), and every day there would be a possibility p(qnlqn-1) of a transition to a (possibly different) state according to the probabilities shown in the following figure. 0.8 Sunny 0.2 0.15 0.2 0.05 0.2 Rainy 0.6 0.5 Foggy 0.3 i. Given that today is foggy, what is the probability that day after tomorrow is sunny? ii. Suppose a person were locked in a room for several days, and he was asked about the weather outside. The only piece of evidence he has is whether the person who comes into the room bringing his daily meal is carrying an umbrella or not. Suppose the probability that the caretaker carries an umbrella is 0.05 if the weather is if it is actually raining, and 0.25 if it is foggy. sunny, 0.85 Assuming that the person does not know what was the weather like on the day he was locked. The next day, the caretaker carried an umbrella into the room. Use Hidden Markov Model (HMM) to compute the probability of the second day is rainy.