bwork out the questions below

\fI Part) Redo exercises 7 and 8 in section 8.3 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data: 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. (1) Find the transition matrix for this Markov process. 1/5 P = 1/4 3/4 (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 - 1/5 (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. (4/5)^3+4 (4) If the probability that the animal will be the meadow at a specific point in time is 0.1, how many subsequent observations must be made before the probability that it is in the meadow exceeds 0.47 2Identify the relationship between mean butterfly population size and meadow area. 1,000 100 Mean butterfly population size 10- 0. 1 10 100 Meadow area (ha) A 10-fold increase in meadow area led to approximately a 95% increase in population size. A 5-fold increase in meadow area led to approximately 45% increase in population size. A 10-fold increase in meadow area led to approximatelyy a 55% increase in population size. A doubling of the meadow area lead to a doubling of the butterfly population size