Let X = 'TTHH'. Compute the P(X| ).

Q2: Let us consider the following experiment. We have two coins, where one of them is a fair coin with equal probabilities for head and tail, and the other one is a loaded coin with different probabilities for head and tail. We occasionally switch between the two coins according to the specied transition probabilities and continue the coin-toss experiment. This is illustrated in Fig. 2, where the state F represents the fair coin and state L represents the loaded coin. The transition probabilities are shoWn along the edges and the emission probabilities are shown next to the respective coins ('H' is for head and 'T' is for tail). Let X = X1X2 . . . xiv be the observed sequence of 'H's and TS, Y = WY? . . . YN be the underlying state sequence, and E) the set of model parameters of the given HM M