Precipitation data in Davis was compiled and discretized intro three states: 1) dry; 2) light rain; 3) wet. Given these states, the transition matrix for a Markov chain model of Davis rainfall was computed as: P = 0.91 0.01 0.08 0.57 0.16 0.27 0.4 0.07 0.53 (a) What is the probability a dry day is followed by a light rain day? What is the probability that a wet day is followed by a light rain day? (b) (Use a calculator or MatLab) What is the probability a dry day is followed by a light rain day 10 days later? What is the probability a wet day is followed by a light rain day 10 days later? (c) What do you notice about the probabilities in (b) versus (a)