Question

A multiple-choice exam has 80 questions, each with four possible answers. If a student is just...

A multiple-choice exam has 80 questions, each with four possible answers. If a student is just guessing at all the answers, the probability that he or she gets at least 30 correct is closest to?

A.0.2

B.0.008

C.0.1

D.0.025

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Since there are 4 possible answers to each question, so,

P(guessing the correct answer to a question) =

Let X denote the number of questions which are answered correctly. Then

Using Normal approximation to Binomial distribution,

Required probability =

which is closest to 0.008.

Hence option B is the correct option.

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