13
QuizMultiple Choice

Binomial Distribution — Quiz

Question 13 • Algebra II

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

Answer
A
Selecting phones randomly until a non-defective phone is chosen
B
Selecting phones randomly until 200 defective phones are chosen
C
Selecting a group of phones randomly and recording the number of defective phones in the group
D
Selecting 200 phones randomly and recording whether each phone is defective

Explanation

A binomial experiment has a fixed number of trials, and each trial has two outcomes with the same probability of success. In D, exactly 200 phones are selected, and each is classified as defective or not defective; the probability of a defective phone is 0.02 for each selection. A and B continue until a certain outcome occurs, so their number of trials is not fixed. C does not specify a fixed group size.

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