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

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

Question

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

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

GinnyAnswer · Answer

The correct option representing a binomial experiment is selecting 200 phones randomly and recording whether each phone is defective. This involves a fixed number of trials with two possible outcomes (defective or non-defective) and a constant probability. The other options do not meet the criteria needed for a binomial experiment. ;

Answered by GinnyAnswer | 2025-07-08

Anonymous · Answer

The correct answer is option 3: Selecting 200 phones randomly and recording whether each phone is defective, as it meets the criteria for a binomial experiment. It involves a fixed number of trials (200), constant probability of 2% defective per phone, and two possible outcomes (defective or non-defective). The other options do not fit these requirements. 
 ;

Answer (2)

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