A production process has been producing 10% defective items. A sample of three items is selected from the production process. What is the probability that all three items are defective?
A) 0.30
B) 0.20
C) 30%
D) 0.001

Question

Quizplus · Accepted Answer

The probability of selecting a defective item from the production process is 0.10. Since the items are selected without replacement, the probability of selecting three defective items can be calculated using the multiplication rule of probability:

P(3 defective items) = 0.10 x 0.10 x 0.10 = 0.001

Therefore, the probability that all three items are defective is 0.001 or 0.1%. Choice D is the correct answer.

A Production Process Has Been Producing 10% Defective Items