Question: 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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