The mutants described in Section 7.1, Exercise 21, where a gene has a 1.0% chance of mutating

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The mutants described in Section 7.1, Exercise 21, where a gene has a 1.0% chance of mutating each time a cell divides and a 1.0% chance of correcting the mutation.
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.
Distribution
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