*40. Consider a continuous-time Markov chain with statesI mage, which spends an exponential time with rate in...

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*40. Consider a continuous-time Markov chain with statesI mage,

which spends an exponential time with rate in state i during each visit to that state and is then equally likely to go to any of the other states.

(a) Is this chain time reversible?

(b) Find the long-run proportions of time it spends in each state.

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