Question

The following circuit only operates if there is a path of functional devices from left to right The probability that each device functions is shown on each device. Assume that devices for independently. What is the probability that the circuit operates? 0.9 0.9 0.8 0.7 0.7 0.95 0.95 0.7

Answer 1

P(left parallel branch works) =1-P(none of component workS)

=1-(1-0.9)*(1-0.7)*(1-0.7)=0.991

P(2nd parallel branch works) =1-(1-0.9*0.8)*(1-0.95*0.95)=0.9727

therefore P(system works)=P(all three series branches work) =0.991*0.9727*0.7 =0.6748