In a random sample of160components of a certain type,24are found to be defective.

(a) Give a point estimate of the proportion of all such components that arenotdefective.

(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: Ifpdenotes the probability that a component works properly, how canP(system works) be expressed in terms ofp?] (Enter your answer to four decimal places.)