Consider again the Markov chain described in Exercise 2. Suppose that the probability that it will be sunny on a certain Wednesday is 0.2 and the probability that it will be cloudy is 0.8.
a. Determine the probability that it will be cloudy on the next day, Thursday.
b. Determine the probability that it will be cloudy on Friday.
c. Determine the probability that it will be cloudy on Saturday.