Would you rather take a multiple-choice test or a full-recall test If you have
Chapter 3, Problem 3.168(choose chapter or problem)
Would you rather take a multiple-choice test or a full-recall test? If you have absolutely no knowledge of the test material, you will score zero on a full-recall test. However, if you are given 5 choices for each multiple-choice question, you have at least one chance in five of guessing each correct answer! Suppose that a multiple-choice exam contains 100 questions, each with 5 possible answers, and guess the answer to each of the questions. a What is the expected value of the number Y of questions that will be correctly answered? b Find the standard deviation of Y . c Calculate the intervals 2 and 3. d If the results of the exam are curved so that 50 correct answers is a passing score, are you likely to receive a passing score? Explain.
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