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."

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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."
Transcribed Image Text: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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