A quiz in a statistics course has 10 multiple choice questio

A quiz in a statistics course has 10 multiple choice questions, each with five-possible answers. Allison has not studied for the quiz. She has no idea of the correct answer to any of the questions and decides to guess at random for each. Allison is interested in how many questions she gets correct. Describe how this situation follows all of the following properties of a Binomial Experiment.

a. Only two outcomes for each trial of the experiment.

b. The experiment consists of n identical trials.

c. The probability of “success” on any one trial does not change from trial to trial

d. The trials are independent.

Solution

a) only two outcomes, correct or incorrect.

b) all questions have 5 possible answers and only one of them is correct.

c) the probability of correct answer for each question is 1/5.

d) the answer of one question does not affect the probability of correct answer of other questions.