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

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 the following probabilities are true.

P(A1) = 0.11   P(A2) = 0.07   P(A3) = 0.05
P(A1 ∪ A2) = 0.15 P(A1 ∪ A3) = 0.14
P(A2 ∪ A3) = 0.1 P(A1 ∩ A2 ∩ A3) = 0.01

(Round your answers to two decimal places.)

(c) Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect?

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please rate please !! any doubts please ask !! thank you !! :))

orchestra answered 2 years ago
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