Question: Answer b to 4 decimal places A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that

Answer b to 4 decimal places

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 P(A1) = 0.36, P(A2) = 0.39, P(A3) = 0.42, P(A1 U A2) = 0.64, P(A1 U A3) = 0.67, P(A2 U A3) = 0.7, P(A] n A2 n A3) = 0.02 (a) Find the probability that the system has exactly 2 of the 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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