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:

A binomial experiment has two outcomes (success/failure), fixed trials, independent trials, and constant probability. Let's analyze each option:

• Option 1: Naming favorite color has multiple outcomes (not binomial).
• Option 2: Giving age is a continuous/quantitative variable (not binomial).
• Option 3: Voting for a candidate can have more than two options (not binomial).
• Option 4: Asking if they like the new school building has two outcomes (like or not like), 75 fixed trials, independent responses, and constant probability of liking (binomial).

Answer:

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