Answer Happy

- 3 - 4. Suppose that the weather in a particular region behaves according to a Markov chain. Specifically, suppose that the probability that tomorrow will be a wet day is 0.662 if today is wet and 0.250 if today is dry. The probability that tomorrow will be a dry day is 0.750 if today is dry and 0.338 if today is wet. (a) Write down the transition matrix for this Markov chain. (b) If Monday is a dry day, find the probability that Wednesday will be wet? (c) Determine the probability distribution of wet and dry days over a long run? (2 marks) (4 marks) (6 marks)