SOLUTION: A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question What is the probabilit

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Question 294231: A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question
What is the probability of getting exactly 9 correct answers?

Answer by stanbon(75887) About Me  (Show Source):
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A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question
What is the probability of getting exactly 9 correct answers?
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Binomial Problem with n = 20 and p = 1/4
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P(x=9) = 20C9*(1/4)^9*(3/4)^11 = 0.0271
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Cheers,
Stan H.
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