Calculus and Above

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A multiple-choice examination consists of...

A multiple-choice examination consists of 95 questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get more than 20 answers correct if he randomly guesses at each answer. (Note that, if he randomly guesses at each answer, then the probability that he gets any one answer correct is 0.25 .) Use the normal approximation to the binomial with a correction for continuity.

Round your answer to at least three decimal places. Do not round any intermediate steps.(If necessary, consult a list of formulas.)

Round your answer to at least three decimal places. Do not round any intermediate steps.(If necessary, consult a list of formulas.)

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