A multiple-choice examination consists of 65 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get more than 11 answers correct if she randomly guesses at each answer. (Note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is o.2.) 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 65 questions, each having possible
choices a, b, c, d, and e. Approximate the probability that a student will get
more than 11 answers correct if she randomly guesses at each answer.
(Note that, if she randomly guesses at each answer, then the probability
that she gets any one answer correct is 0.2.) Use the normal approximation
to the binomial with a correction for continuity.
00
Round your answer to at least three decimal places. Do not round any
intermediate steps.
(If necessary, consult a list of formulas.)
Transcribed Image Text:A multiple-choice examination consists of 65 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get more than 11 answers correct if she randomly guesses at each answer. (Note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is 0.2.) Use the normal approximation to the binomial with a correction for continuity. 00 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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