which of the following is a binomial experiment?\na survey asking 75 people to name their favorite color\na…

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

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

Answer

Explanation:

Step1: Recall binomial - experiment criteria

A binomial experiment has two possible outcomes.

Step2: Analyze each option

  • Option 1: Favorite color has multiple possible answers (not two), so it's not binomial.
  • Option 2: Age has a wide range of values (not two), so it's not binomial.
  • Option 3: There can be multiple candidates in an election, so more than two possible answers, not binomial.
  • Option 4: The answers are either "yes" or "no" (two possible outcomes), so it is a binomial experiment.

Answer:

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