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Those are my questions A certain system can experience three different types of defects. Let A, (i = 1,2,3) denote the event that the system

Those are my questions

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A certain system can experience three different types of defects. Let A, (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that the following probabilities are true. P(A, ) = 0.16 P(A,) = 0.09 P(A;) = 0.07 P ( A , UA 2 ) = 0.17 P (A, U A3 ) = 0.18 P(A, U A3) = 0.13 P( A, n A, n A3 ) = 0.02 (a) What is the probability that the system does not have a type 1 defect? (b) What is the probability that the system has both type 1 and type 2 defects? (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? (d) What is the probability that the system has at most two of these defects

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