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?
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