3. /10 points 92.E.080 My Notes Ask Your Teacher Consider the system of componen

Question

3. /10 points 92.E.080 My Notes Ask Your Teacher Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if 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) = 0.83 for i-1, 2 and 0.8 for 3, 4, calculate P(system works). (Round your answer to four decimal places.) Need Help? ReadIt LTalk to a Tutori Submit Answer Save Progress Practice Another Version

Explanation / Answer

here P(subsystem 3-4 works) =P(3 works)*P(4 works) =0.8*0.8 =0.64

therefore P(system works) =1-P(neither of 1,2,3-4 works) =1-(1-0.83)*(1-0.83)*(1-0.64)=0.9896

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