Suppose that whether or not it rains today depends on previous weather conditions through the last...

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. If we let the state at time n depend only on whether or not it is raining at time n,

Q1：The preceding would then represent a four-state Markov chain having a transition probability matrix P, and find P, plz?

Q2：Given that it rained on Monday and Tuesday, what is the probability that it will rain on Thursday?

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Expert Solution

orchestra answered 11 months ago

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