Title | Probability and Statistics |
---|---|

Tags | Probability Theory Randomness Dice Meteorology Odds |

File Size | 1.5 MB |

Total Pages | 241 |

Cover Front Matter Table of Contents Acknowledgments Introduction Part One: What is Probability? 1. The Idea of Randomness Randomness before the Theory of Probability Early Difficulties in Developing a Theory of Randomness Randomness and Religion Today in Burkina Faso 2. The Nature of Chance Cardano's Mistake Cardano on Luck and Math Galileo Galilei Peirre de Fermat and Blaise Pascal The Division of Stakes, an Alternative Interpretation Christian Huygens Jacob Bernoulli Abraham de Moivre De Moivre on Math and Luck The Bell Curve 3. Surprising Insights into Probability and Its Uses Thomas Bayes and Inverse Probability Buffon and the Needle Problem Daniel Bernoulli and Smallpox Jean le Rond d'Alembert and the Evaluation of Risk Leonhard Euler and Lotteries 4. Randomness in a Deterministic Universe Simeon-Denis Poisson The Poisson Distribution 5. Random Processes James Clerk Maxwell Brownian Motion Revisited Markov Processes A Markov Chain 6. Probability as a Mathematical Discipline Theory and Practice 7. Three Applications of the Theory of Probability Nuclear Reactor Safety Markov Chains and Information Theory Smallpox in Modern Historical Times Part Two: Statistics Introduction: The Age of Information 8. The Beginnings of Statistics The Beginnings of Statistics Edmund Halley Breslau Table for Number and Infinity Insurance 9. Data Analysis and the Problem of Precision The Misuse of Statistics 10. The Birth of Modern Statistics Karl Pearson R.A. Fisher 11. The Theory of Sampling The Problem Walter Shewhart and Statistical Quality Control William Edwards Deming 12. Three Applications of Statistics The Birth of Epidemiology The U.S. Census Political Polling Chronology Glossary Further Reading Index

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