Question

A student takes an exam containing 1818 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.30.3. At least 1212 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.

Answer 1

This will be a binomial distribution with parameters:

n = 18, p = 0.30

Hence,

P(He will fail)

= P(Less than 12 correct)

= binom.dist(11, 18, 0.30, True) [Excel Formula]

= 0.9986