Please and answer and explain and I will give thumbs up !! Do we compute the initial forward prob for 1-3? Furthermore how do we do 4-5 ?

T= = A B START 0.5 0.5 A 0.2 0.3 B 0.4 0.4 END 0.0 0.5 0.2 E A A 0.5 0.5 B 0.3 0.7 1: An HMM with its trained transition T and emission E probabilities. Figure 1 shows the trained transition probability matrix T and the trained emission probability matrix E. Here, both A and B are states. A and are observed words. --- --- 1. Is P(02 = A $1 = B) = P(02 = Alo1 = O)? 2. Is P(s2 = B\s = A) = P(s2 = B|s1 = A, 01 = A)? 3. Is P(02 = A\s = A) = P(02 = O s A, S3 = A)? 4. Calculate the probability of observing as the first word, given the two trained matrices T and E. Show your computation. = = 5. Use Viterbi decoding to find the most likely state sequence for the observation of a length-2 word sequence AD. Show your computation