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,) = 0.10 P(A, U A3) = 0.18 P(A, n Az n Az) = 0.02 P(A,) = 0.15 P(A3) = 0.08 P(A, u A2) = 0.17 P(A2 U A3) = 0.15 (a) What is the probability that the system does not have a type 1 defect? 0.85 (b) What is the probability that the system has both type 1 and type 2 defects? 0.08 (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? 0.06 (d) What is the probability that the system has at most two of these defects? 0.83 Need Help? Watch It Read It Submit Answer

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