14.35 Multiple-Choice Tests. Here is a simple probability model for multiple- choice tests. Suppose each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) Answers to different questions are independent. a. Stacey is a good student for whom p = 0.75. Use the Normal approximation to find the probability that Stacey scores between 70% and 80% on a 100-question test. b. If the test contains 250 questions, what is the probability that Stacey will score between 70% and 80% ? You see that Stacey's score on the longer test is more likely to be close to her "true score."

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