Question: In a production process, let N mean no trouble and T trouble. Let the transition probabilities from one day to the next be 0.8 for

In a production process, let N mean “no trouble” and T “trouble.” Let the transition probabilities from one day to the next be 0.8 for N → N, hence 0.2 for N → T, and 0.5 for T → N, hence 0.5 for T → T. If today there is no trouble, what is the probability of N two days after today? Three days after today?

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