Understanding Probability.

Using everyday examples to demystify probability, this classic is now in its third edition with new chapters, exercises and examples.

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Bibliographic Details
Main Author: Tijms, Henk
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 2012.
Edition:3rd ed.
Subjects:
Online Access:Click for online access

MARC

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245 1 0 |a Understanding Probability. 
250 |a 3rd ed. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2012. 
300 |a 1 online resource (574 pages) 
336 |a text  |b txt  |2 rdacontent 
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338 |a online resource  |b cr  |2 rdacarrier 
505 0 |a Cover; Understanding Probability; Title; Copyright; Contents; Introduction; Preface; Modern probability theory; Probability theory and simulation; An outline; PART ONE: Probability in action; 1: Probability questions; Question 1. A birthday problem (3.1, 4.2.3); Question 2. Probability of winning streaks (2.1.3, 5.10.1); Question 3. A scratch-and-win lottery (4.2.3); Question 4. A lotto problem (4.2.3); Question 5. Hitting the jackpot (Appendix); Question 6. Who is the murderer? (8.3); Question 7. A coincidence problem (4.3); Question 8. A sock problem (Appendix). 
505 8 |a Question 9. A statistical test problem (12.4)Question 10. The best-choice problem (2.3, 3.6); Question 11. The Monty Hall dilemma (6.1); Question 12. An offer you can't refuse -- or can you? (9.6.3, 10.4.7); 2: Law of large numbers and simulation; 2.1 Law of large numbers for probabilities; 2.1.1 Coin-tossing; 2.1.2 Random walk; 2.1.3 The arc-sine law; 2.2 Basic probability concepts; 2.2.1 Random variables; 2.2.2 Probability in finite sample spaces; 2.3 Expected value and the law of large numbers; 2.3.1 Best-choice problem; 2.4 Drunkard's walk; 2.4.1 The drunkard's walk in higher dimensions. 
505 8 |a 2.4.2 The probability of returning to the point of origin2.5 St. Petersburg paradox; 2.6 Roulette and the law of large numbers; 2.7 Kelly betting system; 2.7.1 Long-run rate of return; 2.7.2 Fractional Kelly; 2.7.3 Derivation of the growth rate; 2.8 Random-number generator; 2.8.1 Pitfalls encountered in randomizing; 2.8.2 The card shuffle; 2.9 Simulating from probability distributions; 2.9.1 Simulating from an interval; 2.9.2 Simulating from integers; 2.9.3 Simulating from a discrete distribution; 2.9.4 Random permutation; 2.9.5 Simulating a random subset of integers. 
505 8 |a 2.9.6 Simulation and probability2.10 Problems; 3: Probabilities in everyday life; 3.1 Birthday problem; 3.1.1 Simulation approach; 3.1.2 Theoretical approach; 3.1.3 Another birthday surprise; 3.1.4 The almost-birthday problem; 3.1.5 Coincidences; 3.2 Coupon collector's problem; 3.2.1 Simulation approach; 3.2.2 Theoretical approach; 3.3 Craps; 3.3.1 Simulation approach; 3.3.2 Theoretical approach; 3.4 Gambling systems for roulette; 3.4.1 Doubling strategy; 3.4.2 Simulation approach; 3.4.3 Theoretical approach; 3.5 Gambler's ruin problem; 3.6 Optimal stopping; 3.7 The 1970 draft lottery. 
505 8 |a 3.8 Problems4: Rare events and lotteries; 4.1 Binomial distribution; 4.2 Poisson distribution; 4.2.1 The origin of the Poisson distribution; 4.2.2 Applications of the Poisson model; 4.2.3 Poisson model for weakly dependent trials; 4.2.4 The Poisson process; 4.3 Hypergeometric distribution; 4.4 Problems; 5: Probability and statistics; 5.1 Normal curve; 5.1.1 Probability density function; 5.1.2 Normal density function; 5.1.3 Percentiles; 5.2 Concept of standard deviation; 5.2.1 Variance and standard deviation; 5.2.2 Independent random variables; 5.2.3 Illustration: investment risks. 
520 |a Using everyday examples to demystify probability, this classic is now in its third edition with new chapters, exercises and examples. 
588 0 |a Print version record. 
504 |a Includes bibliographical references and index. 
650 0 |a Chance. 
650 0 |a Mathematical analysis. 
650 0 |a Probabilities. 
650 7 |a probability.  |2 aat 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Chance  |2 fast 
650 7 |a Mathematical analysis  |2 fast 
650 7 |a Probabilities  |2 fast 
776 0 8 |i Print version:  |a Tijms, Henk.  |t Understanding Probability.  |d Cambridge : Cambridge University Press, ©2012  |z 9781107658561 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=944763  |y Click for online access 
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