A certain system can experience three different types of defects. Let Ai(i= 1,2,3) denote the event that the system has a defect of type i. Suppose that
P(A1)= .12 P(A2) = .07 P(A3) =.05
P(A1 ∪A2)= .13 P(A1 ∪A3)= .14
P(A2 ∪A3) = .10 P(A1 ∩A2 ∩A3) = .01
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