A production process produces 2.5% 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) 0.2637
B) 0.0058
C) 0.0000
D) 0.0250

Question

Quizplus · Accepted Answer

This is a binomial probability problem with n=5 (sample size), p=0.025 (probability of defective part) and x=2 (number of defective parts in the sample). The formula for binomial probability is P(x) = (nCx)(p^x)(q^(n-x)), where nCx is the number of combinations of n things taken x at a time and q=1-p. Plugging in the numbers, we get P(2) = (5C2)(0.025^2)(0.975^3) = 0.0058.

A Production Process Produces 2