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:

Step1: Recall binomial experiment criteria

A binomial experiment has fixed number of trials, each trial has only two possible outcomes, the probability of success is constant for each trial, and the trials are independent.

Step2: Analyze first option

Asking 50 people their favorite food has more than two possible responses (many types of food), so it's not a binomial experiment.

Step3: Analyze second option

Asking 50 people if they like pizza has two outcomes - yes or no, fixed number of trials (50 people), probability of liking pizza is assumed constant for each person, and responses are independent. It's a binomial experiment.

Step4: Analyze third option

Measuring 50 people to see if they are over 6 - feet tall has two outcomes (over 6 - feet or not), fixed number of trials (50 people), probability of being over 6 - feet is assumed constant for each person, and measurements are independent. It's a binomial experiment.

Step5: Analyze fourth option

Rolling a number - cube 50 times has 6 possible outcomes for each roll, not two. So it's not a binomial experiment.

Answer:

a survey asking 50 people if they like pizza
a survey measuring 50 people to see if they are over 6 feet tall