The question can be found on the picture Q2. People often decide their outdoor activities according to the weather conditions.Suppose you have a friend in London, where the weather conditions, denoted byW = (W1, W2, W3), is unknown. His activities option, denoted by V = (v₁, V2, V3),is decided by the weather conditions. The initial state of the weather is π =[0.3, 0.4, 0.3]. Given the Hidden Markov model 0 (A, B, π), calculate theprobability that you observe a specific activity sequence O [V2, V2, V1, V3] ofyour friend over the past four days, where Aį, is the transition probability fromwi to wj, Bij is the probability of observing the activity v; under the state wi.A =[0.3 0.2 0.5]0.1 0.4 0.50.2 0.50.3B ==[0.4 0.5 0.1]0.2 0.4 0.40.3 0.1 0.6=

Given:3 weather states: W=(w1, w2, w3)3 Activity options: V=(v1, v2, v3)Initial state probabilities:…

Q2. People often decide their outdoor activities according to the weather conditions. Suppose you have a friend in London, where the weather conditions, denoted by W = (W1, W2, W3), is unknown. His activities option, denoted by V = (v₁, V2, V3), is decided by the weather conditions. The initial state of the weather is 7 = [0.3, 0.4, 0.3]. Given the Hidden Markov model 0 = (A, B, T), calculate the probability that you observe a specific activity sequence O [V2, V2, V1, V3] of your friend over the past four days, where A₁, is the transition probability from wi to wj, Bij is the probability of observing the activity v, under the state wi. = A = [0.3 0.2 0.5] 0.1 0.4 0.5 B 0.2 0.5 0.3 = [0.4 0.5 0.1] 0.2 0.4 0.4 0.3 0.1 0.6