a) Suppose that whether or not it rains, today edpends on previous weather conditions through the last three days. Show how this system may be analyzed by using a Markov chain. How many states are needed? b) Suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probibility 0.6, be the same as the weather yesterday. Determine P for this Markov chain.

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