Binomial Distribution

Question 5 • AZ-Common Core Algebra II B

Two percent of mobile phones produced at a factory are defective. Which of the following is a binomial experiment?

Answer

Selecting phones randomly until a non-defective phone is chosen

Selecting phones randomly until 200 defective phones are chosen

Selecting 200 phones randomly and recording whether each phone is defective

Selecting a group of phones randomly and recording the number of defective phones in the group

Explanation

A binomial experiment has a fixed number of trials, and each trial has two outcomes with the same probability of success. In choice C, exactly 200 phones are selected, and each is classified as defective or non-defective; the probability of a defect is 0.02. Choices A and B continue selecting until a target outcome occurs, so the number of trials is not fixed.

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