In a random sample of 80 components of a certain type,12 are found to be defective.a

Chapter 6, Problem 8

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In a random sample of 80 components of a certain type,12 are found to be defective.a. Give a point estimate of the proportion of all suchcomponents that are not defective.b. A system is to be constructed by randomly selectingtwo of these components and connecting them inseries, as shown hereThe series connection implies that the system will functionif and only if neither component is defective (i.e.,both components work properly). Estimate the proportionof all such systems that work properly. [Hint: If pdenotes the probabil ity that a component works properly,how can P(system works) be expressed in terms of p?]

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