Question: Question 2) (20 points) Recall the following problem presented in class: Example 4.4 (Transforming a Process into a Markov Chain) Suppose that whether or not

Question 2) (20 points) Recall the following problem presented in class: Example 4.4 (Transforming a Process into a Markov Chain) Suppose that whether or not it rains today depends on previous weather conditions through the last two days. Specifically, suppose that if it has rained for the past two days, then it will rain tomorrow with probability 0.7; if it rained today but not yesterday, then it will rain tomorrow with probability 0.5; if it rained yesterday but not today, then it will rain tomorrow with probability 0.4; if it has not rained in the past two days, then it will rain tomorrow with probability 0.2. Let's now answer the following question: Given that it rained on Monday and Tuesday, what is the probability that it will rain on Thursday

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