Question

A student takes an exam containing 16 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 11 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will pass? Round your answer to four decimal places.

Answer 1

This will be a binomial distribution with parameters:

n = 16, p = P(Correct) = 0.50

Hence,

P(Atleast 11 correct)

= 1 - P(Less than 11 correct)

= 1 - binom.dist(10, 16, 0.50, True) [Excel Formula]

= 0.1051