The lemmings described in Section 7 1, Exercise 22, where a lemming has a probability 0 2 of jumping off the cliff each hour and a probability 0 1 of crawling back up In most Markov chains, the state of the system is correlated from step to step Using the joint distribution of the states of the following Markov chains at times t and t 1, find the correlation (set the value of one state to be 1 and of the other state to be 0) Assume that the marginal distributions at both time t and t 1 match the long term probability

Question: The lemmings described in Section 7.1, Exercise 22, where a lemming has a probability 0.2 of jumping off the cliff each hour and a probability

The lemmings described in Section 7.1, Exercise 22, where a lemming has a probability 0.2 of jumping off the cliff each hour and a probability 0.1 of crawling back up.
In most Markov chains, the state of the system is correlated from step to step. Using the joint of the states of the following Markov chains at times t and t + 1, find the correlation (set the value of one state to be 1 and of the other state to be 0). Assume that the marginal distributions at both time t and t + 1 match the long-term probability.

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