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Show work 4. The basic events of the following fault tree are { El} , (E2} , ( E3) , {E4 ), the probabilities of

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4. The basic events of the following fault tree are { El} , (E2} , ( E3) , {E4 ), the probabilities of these basic events are P.{ EI; = 0.1, P {E2) =0.05 and P. {E3) = 0.01, P, { E4) = 0.02. Top Event G1 G2 G3 G4 E3 E4 E E2 (1) Please use Fussell-Vesely algorithm to find all minimal cut sets; (2) Please calculate the failure probability of top event using sum of disjoint product (SDP) method. (15 points)

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