Question

use the features on the left to identify which of the following are binomial experiments. a survey asking 50 people their favorite food, a survey asking 50 people if they like pizza, a survey measuring 50 people to see if they are over 6 feet tall, a test of rolling a number cube 50 times and recording the result

Explanation:

A binomial experiment has the following characteristics: fixed number of trials, each trial is independent, only two possible outcomes per trial, the probability of success is the same for each trial, and the outcomes are repeatable.

• In a survey asking 50 people their favorite food, there are more than two possible answers, so it's not a binomial experiment.
• In a survey asking 50 people if they like pizza, there are two outcomes (yes or no), fixed - 50 trials, independent trials, and the probability of liking pizza for each person can be considered constant, so it's a binomial experiment.
• In a survey measuring 50 people to see if they are over 6 feet tall, there are two outcomes (over 6 feet or not), fixed 50 trials, independent trials, and constant probability for each person, so it's a binomial experiment.
• In a test of rolling a number cube 50 times and recording the result, there are 6 possible outcomes per roll, not two, so it's not a binomial experiment.

Answer:

• A survey asking 50 people if they like pizza: Binomial experiment.
• A survey measuring 50 people to see if they are over 6 feet tall: Binomial experiment.
• A survey asking 50 people their favorite food: Not a binomial experiment.
• A test of rolling a number cube 50 times and recording the result: Not a binomial experiment.