Question

A survey was given to 50 people to determine if they prefer white or brown rice at a local Chinese restaurant. Given the following reasons, determine which fulfills one of the requirements for a binomial distribution.

a. the study has a finite number of trials.
b. the study is conducted randomly.
c. the survey focuses on food only from one restaurant.
d. the study is conducted locally.

Answer 1

the study has a finite number of trials

Explanation:

Answer 2

Answer: a. the study has a finite number of trials.

Explanation:

A binomial experiment is an experiment which satisfies the following four conditions:

1. There must be a fixed number of trials.
2. Each trial can have only two outcomes. These outcomes are called success and failure.
3. The outcomes of each trial must be independent of each other.
4. The probability of a success must remain the same for each trial.

Hence, option a. "the study has a finite number of trials." is one of the requirements for a binomial distribution.