Problem 7 Assuming a hidden Markov model with states 80: and observations of:, prove the following: P(st | 00:) ox P(ot | St, 00:t-1) P(st | 00:t-1) Starting from the previous equation prove the following: P (st | 00:) xx P (of | st) > P(st | 3: 1) P (st-1 | 00:t-1) St 1 What is the Markov blanket for some node of of the hidden Markov model below? Explain why this is so. So S1 S2 (images/hmm.png) Oo O1 O2 Problem 9 ation of the law of total probability is