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A certain system can experience three different types of defects. Let A (i = 1,2,3)...

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A certain system can experience three different types of defects. Let A (i = 1,2,3) denote the event that thesystem has a defect of type i. Suppose that(a) Find the probability that the system has exactly 2 ofthe 3 types of defects.(b) Find the probability that the system has a type 1 defect given that it does not have a type 2 defect and does not have a type 3 defect.

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