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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orchestra answered 1 year ago

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...

Suppose that the chance of rain tomorrow depends on previous weather conditions only through whether or...

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Find the stationary distribution of this chain Suppose that the probability it rains today is 0.3...

Find the stationary distribution of this chain Suppose that the probability it rains today is 0.3 if neither of the last two days was rainy, but 0.6 if at least one of the last two days was rainy. Let the weather on day n, Wn, be R for rain, or S for sun. Wn is not a Markov chain, but the weather for the last two days Xn = (Wn−1 , Wn ) is a Markov chain with four states...

Suppose that you are interested in determining whether "consumption depends on income" or whether "income depends...

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

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