A production process produces 2% 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) .0004
B) .0038
C) .10
D) .02

Question

Quizplus · Accepted Answer

We can use the binomial probability formula, which is: P(X = k) = nCk * p^k * (1-p)^(n-k), where n is the sample size, k is the number of successes (i.e. defective parts), p is the probability of success (i.e. 0.02), and nCk is the combination formula (i.e. number of ways to choose k items from a pool of n items). 
Substituting the values, we get: 
P(X = 2) = 5C2 * 0.02^2 * (1-0.02)^(5-2) = 0.0038
Therefore, the answer is B.

A Production Process Produces 2% Defective Parts