(Solution Library) The non-conforming fraction of a production process is 2 \%. A sample of size 50 is drawn at random from the population produced by the
Question: The non-conforming fraction of a production process is \(2 \%\). A sample of size 50 is drawn at random from the population produced by the process. Assume that the population is very large. The sample yields \(d\) non-conforming items. One then computes the statistic
\[\hat{p}=\frac{d}{50}\]- What distribution describes the statistic \(\hat{p} ?\)
- Calculate \(E(\hat{p})\).
- Calculate \(\operatorname{var}(\hat{p})\).
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Calculate the Probability \((\hat{p} \leq 0.04)\)
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