. (Ross 4.3) In the previous exercise, suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probability 0.6, be the same as the weather yesterday. Determine P for this Markov chain. If it has rained for the past three days, compute the probability that it is not raining four days from now.