Question

1) Suppose that whether or not it rains today depends 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? 2) 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 probability 0.6, be the same as the weather yesterday. Determine the transition probability matrix P for this Markov chain.

          1) Suppose that whether or not it rains today depends 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?
2) 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 probability
0.6, be the same as the weather yesterday. Determine the transition probability matrix
P for this Markov chain.

1) Suppose that whether or not it rains today depends 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?
2) 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 probability
0.6, be the same as the weather yesterday. Determine the transition probability matrix
P for this Markov chain.

Added by Lu-S M.

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