A manufacturing company is concerned about the number of defective items produced by their assembly line. In the past they have had 5% of their products produced defectively. They take a random sample of 35 products. What is the probability that more than 5 products in the sample are defective?
A)14.28%
B)0.59%
C)100%
D)None of these choices are correct

Question

Quizplus · Accepted Answer

This problem can be solved using binomial distribution with n=35 and p=0.05. We are looking for the probability of more than 5 defective products, which can be calculated as 1 minus the cumulative probability of 5 or fewer defective products. Using a calculator or software, the probability is found to be 0.59%, which is choice B.

A Manufacturing Company Is Concerned About the Number of Defective