Problem 2: For this problem, you should take some situation from your life (or some hypothetical person's life or a book/movie, etc.) and model it using Markov chains. The catch is that this Markov chain should be an absorbing Markov chain with at least two (but maybe more) absorbing states and at least two (but maybe more) transient states. (a.) Describe the situation in words. What are the states? What are the absorbing states? (b.) Write the transition matrix P. (Why are the probabilities you assigned appropriate for the situation?) (c.) Pick one absorbing state and one transient state. (Which ones did you pick?) What is the probability that you end up at the absorbing state you selected given that you started at the transient state you selected? Use methods you learned in class. (d.) Pick a transient state. Starting at that transient state, how long do you expect it to take to be absorbed