Question

which of the following is a binomial experiment? a survey asking 75 people to name their favorite color a survey asking 75 people to give their age a survey asking 75 people whom they voted for in the election a survey asking 75 people if they like the new school building

Explanation:

Step1: Recall binomial experiment criteria

A binomial experiment has two possible outcomes, fixed - number of trials, independent trials, and constant probability of success.

Step2: Analyze each option

• Option 1: Asking for favorite color has more than 2 possible outcomes (many colors), not binomial.
• Option 2: Asking for age has a wide range of values, not 2 outcomes, not binomial.
• Option 3: Asking whom they voted for has multiple candidates (more than 2 possible responses), not binomial.
• Option 4: Asking if they like the new school building has 2 outcomes (yes or no), fixed number of trials (75 people), independent responses, and constant probability of liking it for each person, so it is a binomial experiment.

Answer:

A survey asking 75 people if they like the new school building