Question

there are 10 multiple - choice questions on a math quiz. each question has four answer choices with one correct answer. let x represent the number of questions answered correctly for a student who is randomly guessing each answer choice. have the conditions for a binomial setting been met for this scenario? no, the order of the questions is unknown. yes, all four conditions in bins have been met. no, the answers are not independent of one another. no, we do not know how many quizzes this teacher will give.

Explanation:

Let's check the BINS conditions:

• Binary: Each question has two outcomes - correct or incorrect.
• Independent: Guessing one question does not affect guessing another.
• Number: There are \(n = 10\) fixed number of questions.
• Success: The probability of success (guessing a question correctly) \(p=\frac{1}{4}\) is constant for each question.

Answer:

Yes, all four conditions in BINS have been met.