Question

of components connected as in the Consider the system accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only it either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and p(component i works)-0.84 for ,-1, 2 and-0.7 for i-3, 4, calculate Pisystem works). (Round your answer to tour decimal places.) one another and P(component i works) 0.84 for i -1, 2 and

Answer 1

P(system works) =1-P(1 does not work and 2 does not work and 3-4 does not work)

=1-(1-(1-0.84)*(1-0.84)(1-0.7*0.7)=0.9869