My Notes Ask Your Teacher -/1 points DevoreStat9 2..080. Consider the system of

Question

My Notes Ask Your Teacher -/1 points DevoreStat9 2..080. 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 works) = 0.7 for i = 1, 2 and = 0.61 for i-3, 4, calculate P(system works). (Round your answer to four decimal places.) Need Help? Read It Talk to a Tutor

Explanation / Answer

P(1 or 2 works) = 1 - ((1-0.7) * (1-0.7)) = 0.91

P(3 and 4 works) = 0.61 * 0.61 = 0.3721

P(system works) = 1 - ((1-0.91) * (1-03721)) = 0.9435 (ans)

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