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3) A firm uses 2650 components of lifespan 4 weeks. Failed components are not repairable and are exchanged for new at the end of

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3) A firm uses 2650 components of lifespan 4 weeks. Failed components are not repairable and are exchanged for new at the end of week. In the first week 30% components fail, second week 20%, the third week 40%, and the last week the rest. A) Determine Markov transition matrix for renewal process. B) At the beginning components are new, 1/4 one week old and 1/4 two weeks old. Determine age structure of components at the beginning of the second and third week. C) How many components is it needed to change at the end of each week after enough long time?

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