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23: Consider the following 3-state first-order Markov model of the weather in Chicago: > wj : rain / snow W2: cloudy > w3: sunny W 2 0.4 0.3 0.3\\ a32 a =ajj = 0.1 0.8 0.1 a 33 a31 0.2 0.2 0.6 13 a) What is the probability that the weather for the next eight days will be "sunny-sunny rainy- rainy-sunny-cloudy-sunny" (Ws = {W3, W2, W3, W1, W1, W3, W2, W3})? Calculate this probability using logarithms. Assume that the initial probabilities are equal