**Question:**

A computer system can operate in two different modes. Every hour, it remains in the same mode or switches to a different mode according to the transition probability matrix 0.4 0.6 Plo.6 0.41 a) b) Compute the 2-step transition probability matrix If the system is in Mode l at 5:30 pm, what is the probability that it will be in Mode I at 8:30 pm on the same day?

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