Question: A system has two components configured in a parallel structure. That is, if any one of these components is working, the system will be working;

A system has two components configured in a parallel structure. That is, if any one of these components is working, the system will be working; but when both components fail, the system will fail. Let the two components be independent. The probability of Component 1 changing from good to bad after a day is 0.2 and the probability of Component 2 from good to bad is 0.4 . Assume that both components cannot be repaired. 1. Model this process using a terminating Markov Chain. 2. What is the probability that the system fails in exactly three days, given that both components are working initially? 3. What is the average number of days that one could observe Component 1 being good and Component 2 being bad, given that both components are working initially? 4. What is the expected life of the system, given that both components are working initially? 5. What is the probability that one will ever observe Component 1 being good and Component 2 being bad, given that both components are working initially

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