Digital dice computational solutions to practical probability problems.
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| Format: | eBook |
| Language: | English |
| Published: |
Princeton University Press
2008
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| Subjects: | |
| ISBN: | 9780691126982, 0691158215, 0691126984, 9780691158211 |
| Online Access: | Get full text |
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Table of Contents:
- Digital dice : computational solutions to practical probability problems -- Comments on Probability and Monte Carlo -- Contents -- Preface to the Paperback Edition -- Introduction -- The Problems -- 1. The Clumsy Dishwasher Problem -- 2. Will Lil and Bill Meet at the Malt Shop? -- 3. A Parallel Parking Question -- 4. A Curious Coin-Flipping Game -- 5. The Gamow-Stern Elevator Puzzle -- 6. Steve's Elevator Problem -- 7. The Pipe Smoker's Discovery -- 8. A Toilet Paper Dilemma -- 9. The Forgetful Burglar Problem -- 10. The Umbrella Quandary -- 11. The Case of the Missing Senators -- 12. How Many Runners in a Marathon? -- 13. A Police Patrol Problem -- 14. Parrondo's Paradox -- 15. How Long Is the Wait to Get the Potato Salad? -- 16. The Appeals Court Paradox -- 17. Waiting for Buses -- 18. Waiting for Stoplights -- 19. Electing Emperors and Popes -- 20. An Optimal Stopping Problem -- 21. Chain Reactions, Branching Processes, and Baby Boys -- The Solutions -- 1. The Clumsy Dishwasher Problem -- 2. Will Lil and Bill Meet at the Malt Shop? -- 3. A Parallel Parking Question -- 4. A Curious Coin-Flipping Game -- 5. The Gamow-Stern Elevator Puzzle -- 6. Steve's Elevator Problem -- 7. The Pipe Smoker's Discovery -- 8. A Toilet Paper Dilemma -- 9. The Forgetful Burglar Problem -- 10. The Umbrella Quandary -- 11. The Case of the Missing Senators -- 12. How Many Runners in a Marathon? -- 13. A Police Patrol Problem -- 14. Parrondo's Paradox -- 15. How Long is the Wait to Get the Potato Salad? -- 16. The Appeals Court Paradox -- 17. Waiting for Buses -- 18. Waiting for Stoplights -- 19. Electing Emperors and Popes -- 20. An Optimal Stopping Problem -- 21. Chain Reactions, Branching Processes, and Baby Boys -- Appendix 1: One Way to Guess on a Test -- Appendix 2: An Example of Variance-Reduction in the Monte Carlo Method -- Appendix 3: Random Harmonic Sums -- Appendix 4: Solving Montmort's Problem by Recursion -- Appendix 5: An Illustration of the Inclusion-Exclusion Principle -- Appendix 6: Solutions to the Spin Game -- Appendix 7: How to Simulate Kelvin's Fair Coin with a Biased Coin -- Appendix 8: How to Simulate an Exponential Random Variable -- Appendix 9: Index to Author-Created MATLAB m-Files in the Book -- Glossary -- Acknowledgments -- Index -- Also by Paul J. Nahin