If the animal is in the woods on one observation then it is

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 four 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. Find the transition matrix for this Markov process. If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?

Solution

Solution

2) To   find   the   probability   that   it   is in the   woods on the   next three observations

            It is   given that   if the   animal   is in   the woods   of one observation

           then   it   is   three times   as likely to   be   in    the woods

           Required Probability =   1/3

           

3)       To    find   the probaibility   that   it is   in   the meadow   on   the next   three

          observations

          It is   given that   if the   animal   is in   the woods   of one observation

         then   it   is    four times   as likely to   be   in    the woods

         Required Probability =   1/4