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A machine can be in two states at the end of each day: Operational (State 1) or ...

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A machine can be in two states at the end of each day: Operational (State 1) or Down (State 2). The transition matrix P for moving from one day to the next is shown below. If the machine is 100% Operational today (Day 0), what is the exact probability that it will be Down on Day 2?

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