Determine whether the experiment is a binomial experiment. If it is, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not, explain why.
You take a multiple-choice quiz that consists of 10 questions. Each question has four possible answers, only one of which is correct. To complete the quiz, you randomly guess the answer to each question. The random variable represents the number of correct answers.
a. Identify a trial of the experiment and what is a success.
b. Determine whether the experiment satisfies the four conditions of a binomial experiment.
c. Make a conclusion and identify n, p, q, and the possible values of x, if possible.