Question

which of the following is not a binomial experiment? a. asking 100 people whether or not the like pizza. b. measuring the height of 100 people to see if they are over 61. c. asking 100 people what their favorite color is. d. asking 100 people if their favorite color is red. please select the best answer from the choices provided

Explanation:

Step1: Recall binomial experiment conditions

A binomial experiment has: fixed number of trials (\(n = 100\) here for all options), each trial has two possible outcomes (success - failure).

Step2: Analyze option a

For "Asking 100 people whether or not they like pizza", two outcomes: like (success) or don't like (failure).

Step3: Analyze option b

For "Measuring the height of 100 people to see if they are over 6'1", two outcomes: over 6'1 (success) or not over 6'1 (failure).

Step4: Analyze option c

For "Asking 100 people what their favorite color is", more than two possible outcomes (e.g., red, blue, green, etc.).

Step5: Analyze option d

For "Asking 100 people if their favorite color is red", two outcomes: favorite color is red (success) or not (failure).

Since a binomial experiment requires two - outcome trials, option c is not a binomial experiment.

Answer:

C. Asking 100 people what their favorite color is.