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a)A production machine could be assigned the states operating and breakdown. The transition probabilities reflecting the probabilities of a machine's either breaking down or operating
a)A production machine could be assigned the states "operating" and "breakdown". The transition probabilities reflecting the probabilities of a machine's either breaking down or operating in the next day is shown in the table below:
Day one
Day two
Operating
Breakdown
Operating
0.90
0.10
Breakdown
0.70
0.30
Given that the machine is initially operating, determine the probability that it is working in fourth day.
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