Determine if the following probability experiment represents a binomial experiment. A random sample of 25 middle school students is obtained, and the individuals selected are asked to state their hair length. Choose the correct answer below. A. No, this probability experiment does not represent a binomial experiment because the trials are not independent. B. No, this probability experiment does not represent a binomial experiment because the variable is continuous, and there are not two mutually exclusive outcomes. C. Yes, this probability experiment represents a binomial experiment because each trial has two mutually exclusive outcomes. D. Yes, this probability experiment represents a binomial experiment because the probability of success is the same for each trial of the experiment.

Option A) is the right option.

Step-by-step explanation:

We are given the following information in the question:

A random sample of 25 middle school students is obtained, and the individuals selected are asked to state their hair length.

We have to check whether this distribution is a binomial distribution or not.

The experiment consists of n repeated trials. Each trial can have two possible outcomes only. The possible outcome can be success or a failure. The probability of success, denoted by p, is the same on every trial. The trials are independent.

This distribution is not a binomial distribution because the variables are continuous that is hair length is a continuous variable and there are no two mutually exclusive events. Although, the trails are independent but there is nothing that can be considered as success or failure.

Hence, option A is the correct option.