If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. (1) Find the transition matrix for this Markov process. 3/4 1/4 P = 1/3 2/3 (2) If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either as a rational fraction or as a decimal fraction rounded to 4 decimal places.) 3/4

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