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."
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."
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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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."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccc1d2c4-d795-4b01-b6c9-ef44587a33bb%2Faed0db6f-07dd-4db4-8d72-bde27a65d0d4%2Fcvf7ewq_processed.jpeg&w=3840&q=75)
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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