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8. In a random sample of 80 components of a certain type, 12 are found to be defective. a. Give a point estimate of the

8. 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 such compo- nents that are not defective. b. A system is to be constructed by randomly selecting two. of these components, and connecting them in series, as -*shown here. S The series connection implies that the system will function if and only if neither component is defective (i.e., both com- ponents work properly). Estimate the proportion of all such systems that work properly. [Hint: If p-denotes the probabil- ity that a component works properly, how can P(system works) be expressed in terms of p?] e. 12. Sup acr as Le san Sh is 13. C

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