-2 points DevoreStat9 6.E008. My Notes Ask Your Teacher In a random sample of 16

Question

-2 points DevoreStat9 6.E008. My Notes Ask Your Teacher In a random sample of 160 components of a certain type, 24 are found to be defective (a) Give a point estimate of the proportion of all such components 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 The series connection implies that the system will function if and only if neither component is defective (i.e., both components work properly). Estimate the proportion of all such systems that work properly. [Hint: If p denotes the probability that a component works properly, how can P(system works) be expressed in terms of p?] (Enter your answer to four decimal places.) Need Help? Talk to a Tutor Read It

Explanation / Answer

A) proportion of defective = 24/160 = 0.15

Proportion of not defective = 1 - 0.15 = 0.85

B) As the two components are in series so the probability = 0.85 * 0.85 = 0.7225

  

  

  

  

  

  

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