Question: (Do not use any software program!) A production company has two machines. During any day, each machine that is working at the beginning of the

(Do not use any software program!) A production company has two machines. During any day, each machine that is working at the beginning of the day has a 20% chance of breaking down. The two machines break down independently of each other. If a machine breaks down during day n, it is sent to a repair facility and will be working at the beginning of day n + 3. Thus, if a machine breaks down during day 2, it will be working at the beginning of day 5. Define states and construct transition probability matrix for this situation.

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