Question: Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with ve possible answers will have

Some standardized tests, such as the SAT test, incorporate a penalty for wrong answers. For example, a multiple-choice question with ﬁve possible answers will have 1 point awarded for a correct answer and 1 4 point deducted for an
incorrect answer. Questions left blank are worth 0 points.
(a) Find the expected number of points received for a multiple-choice question with ﬁve possible answers when a student just guesses.
(b) Explain why there is a deduction for wrong answers.

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