SOLUTION: 7. In a multiple-choice test, each question has four options. Students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for
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Question 549938: 7. In a multiple-choice test, each question has four options. Students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a multiple-choice test, each question has four options.
p(correct) = 1/4 ; p(incorrect) = 3/4
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Students will get 4 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions.
Random "gain" values: 4:::-1:::0
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A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value
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E(x) = (1/4)4 + (3/4)(-1) + 0 = 1/4
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He should answer every question.
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Cheers,
Stan H.
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