If the animal is in the woods on one observation, then it is three times 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 twice 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. 1/4 555 3/4 555 2/3 555 1/3 (2) If the animal is four times as likely to be in the meadows as in the woods, find the state vector X that represents this information? x=lCL Cesa l- (3) Using the state vector determined in the preceding part as the initial state vector, find the probability that the animal is in the meadow on the third
observation after the initial one. (4) If the probability that the animal will be the meadow at a specific point in time is 0.08, how many subsequent observations must be made before the
probability that it is in the meadow exceeds 0.3? :' EEE