Question

According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment

Answer 1

The given experiment is binomial experiment

1. There are two outcomes classified as success or failure.

2. The probability of success remains fixed on each trial.

3. There are n fixed number of trial.

4. The trails are independent.

Explanation:

The given experiment is binomial experiment because

1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.

2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.

3. There are n fixed number of trial i.e. 12.

4. The trails are independent i.e. students participates in athletic programs independently.