The number of defects in a random sample of 200 parts produced by a machine is binomially distributed with p = 0.03. Based on this information, the standard deviation of the number of defects in the sample is 5.82.

Question

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is calculated using the formula σ = √(np(1-p)), where n is the sample size and p is the probability of success. Plugging in the given values, we get σ = √(200*0.03*(1-0.03)) = 3.18, not 5.82. Therefore, the statement is false.

The Number of Defects in a Random Sample of 200