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(10 marks) A computer system can operate in two different modes. Every hour, it remains in...

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
P =

0:4 0:6
0:6 0:4

a) Compute the 2-step transition probability matrix.
b) If the system is in Mode I at 5:30 pm, what is the probability that it will be in Mode I at
8:30 pm on the same day?

Math   Statistics-And-Probability   
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