A multiple-choice examination consists of  85  questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get fewer than  18  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.)

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A multiple-choice examination consists of 
85
 questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get fewer than 
18
 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.)
 
 
 
 
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