The number of defects discovered in a random sample of 100 products produced at the Berdan Manufacturing Company is binomially distributed with p = .03. Based on this, the standard deviation of the number of defects per sample of size 100 is 2.91.

Question

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is given by the formula $\sqrt{n \cdot p \cdot (1-p)}$, where $n$ is the sample size and $p$ is the probability of success (in this case, finding a defect). For $n = 100$ and $p = .03$, the standard deviation is $\sqrt{100 \cdot .03 \cdot (1-.03)} = \sqrt{2.91} \approx 1.706$.

The Number of Defects Discovered in a Random Sample of 100