# exel help Chapter 4 supplement Week 3.xlsx - Chapter 4...

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Chapter 4 SupplmentProblem 11 a.X x X =X2b.X x X =X2X x X =Probability that Component 1 or (Backup for Component 1 & Switch) will function (UseX + [(1-X) x X =-80(Use Rule 2):X + [(1-X) x X] =X x X =c.X x X =X x X =Rule 2):X + [(1-X) x X]Rule 2):X + [(1-X) x X] =X + X =Probability that bothcomponents will function, i.e., the system will function (Use Rule 1Probability that Backup for Component 1 & Switch bothwill function (Use Rule 1):Probability that Component 2 or(Backup for Component 2 & Switch) will functionProbability that bothcomponents will function, i.e., the system will work (Use Rule 1):Probability that Backup for Component 1 & Switch bothwill function (Use Rule 1):Probability that Backup for Component 2 & Switch bothwill function (Use Rule 1):Probability that CompProbability that CompProbability that bothcomponents will function, i.e., the system will function (Use Rule 1
e Rule 2):1).1):
Problem 3Probability of all three components must be equal.We know the following from Rule 1:X x X x X =X =3.Given:Probability that allthree components will function, i.e., the system will function =.92LetX= the probability that each component will function.

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Reliability of robot