Compute Probabilities of Binomial Experiments
-A quiz consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the quiz a student must get 60% or better on the quiz. If a student randomly guesses, what is the probability that the student will pass the quiz
A) 0.006
B) 0.060
C) 0.377
D) 0.205

Question

Quizplus · Accepted Answer

To pass the quiz, a student must correctly answer 6 or more out of 10 questions. The probability of guessing any one question correctly is 1/5 (or 0.2), and incorrectly is 4/5 (or 0.8). This is a binomial experiment where n=10, p=0.2, and x≥6. The probability of passing by guessing (getting at least 6 out of 10 correct) is very low, and when calculated, it is closest to the option A) 0.006.