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

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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 Ha 1 (27.89 KiB) Viewed 197 times

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(A1) = 0.14 P(A2) = 0.10 P(A3) = 0.06 P(A, UA2) = 0.16 P(A, UA3) = 0.16 P(A2 U A3) = 0.13 P(A, NA2 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?