Jersey 07458 Library of Congress Cataloging-in-Publication Data Ross, Sheldon M. A first course in probability / Sheldon Ross. — 8th ed. p. cm. Includes bibliographical references and index. ISBN-13: 978-0-13-603313-4 ISBN-10: 0-13-603313-X 1. Probabilities—Textbooks. I. Title. QA273.R83 2010 519.2—dc22 2008033720 Editor in Chief, Mathematics and Statistics: Deirdre Lynch Senior Project Editor: Rachel S. Reeve Assistant Editor: Christina Lepre Editorial Assistant: Dana Jones Project
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Vijay V. Vazirani College of Computing Georgia Institute of Technology Copyright c 2001 Approximation Algorithms Springer Berlin Heidelberg NewYork Barcelona Hong Kong London Milan Paris Singapore Tokyo To my parents Preface Although this may seem a paradox, all exact science is dominated by the idea of approximation. Bertrand Russell (1872–1970) Most natural optimization problems, including those arising in important application areas, are NP-hard. Therefore, under the widely believed
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Chapter 1—The Information System: An Accountant’s Perspective TRUE/FALSE 1. Information is a business resource. ANS: T 2. An information system is an example of a natural system. ANS: F 3. Transaction processing systems convert non-financial transactions into financial transactions. ANS: F 4. Information lacking reliability may still have value. ANS: F 5. A balance sheet prepared in conformity with GAAP is an example of discretionary reporting. ANS: F 6.
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Chapter 1 ACCOUNTING INFORMATION SYSTEMS: AN OVERVIEW TEACHING TIPS This chapter provides general coverage of many of the text's major themes. It's usually a good idea to indicate how the topics covered in this chapter will be covered in more detail later in the course. Many instructors will not assign any problem from the end of this chapter. This can be done without any loss of overall continuity in the course. If the course will emphasize internal controls, it might be desirable
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following cases if the first passenger sits in seat number 1, then all ∗ wax@alum.mit.edu 1 the remaining passengers will be in their correct seats and certainly the #100’th will also. If he sits in the last seat #100, then certainly the last passenger cannot sit there (in fact he will end up in seat #1). If he sits in any of the 98 seats between seats #1 and #100, say seat k, then all the passengers with seat numbers 2, 3, . . . , k − 1 will have empty seats and be able to sit in their respective
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For Students Solutions to Odd-Numbered End-of-Chapter Exercises * Chapter 2 Review of Probability 2.1. (a) Probability distribution function for Y Outcome (number of heads) | Y 0 | Y 1 | Y 2 | Probability | 0.25 | 0.50 | 0.25 | (b) Cumulative probability distribution function for Y Outcome (number of heads) | Y 0 | 0 Y 1 | 1 Y 2 | Y 2 | Probability | 0 | 0.25 | 0.75 | 1.0 | (c) . Using Key Concept 2.3: and so that 2.3. For the two new random variables and we have:
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This tutorial letter contains the model answers to assignment 1 & 2, and the Oct/Nov 2013 examination and Jan/Feb 2014 supplementary examination preparation notes. Bar code CONTENTS 1 TUTORIAL MATTER THAT YOU SHOULD HAVE RECEIVED TO DATE .................................. 3 Plagiarism ................................................................................................................................... 3 2 THE MODEL ANSWERS TO ASSIGNMENT 1 .......................................
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For Students Solutions to Odd-Numbered End-of-Chapter Exercises * Chapter 2 Review of Probability 2.1. (a) Probability distribution function for Y Outcome (number of heads) | Y 0 | Y 1 | Y 2 | Probability | 0.25 | 0.50 | 0.25 | (b) Cumulative probability distribution function for Y Outcome (number of heads) | Y 0 | 0 Y 1 | 1 Y 2 | Y 2 | Probability | 0 | 0.25 | 0.75 | 1.0 | (c) . Using Key Concept 2.3: and so that 2.3. For the two new random
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ARTIFICIAL INTELLIGENCE Artificial intelligence is the intelligence of machines and the branch of computer science that aims to create it. AI textbooks define the field as "the study and design of intelligent agents where an intelligent agent is a system that perceives its environment and takes actions that maximize its chances of success. John McCarthy, who coined the term in 1956 defines it as "the science and engineering of making intelligent machines. The field was founded on the claim that
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Bibl 104 Quiz 1 Question 1 3 out of 3 points According to the readings the Old Testament canon was completed after the time of Ezra and Nehemiah. Answer Selected Answer: True Question 2 3 out of 3 points According to Fee and Stuart's analysis God is the hero of all biblical narratives. Answer Selected Answer: True Question 3 3 out of 3 points What percentage of the literary genre in the Old Testament is narrative? Answer Selected Answer: 40% Question 4 0 out of 3 points
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