A production process produces 3% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
A) 0.9918
B) 0.0082
C) 0.0003
D) 0.9997

Question

Quizplus · Accepted Answer

This is a binomial probability problem with n (sample size) = 5, p (probability of defective parts) = 0.03, and we need to find P(X = 2) (probability of exactly 2 defective parts in a sample of 5). 
Using the binomial probability formula P(X = k) = (n choose k) * p^k * (1-p)^(n-k), we get: 
P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3 = 0.0082
Therefore, the answer is B.

A Production Process Produces 3% Defective Parts