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121121s2012 enk ob 001 0 eng d |
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|a 1168394777
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|a 9781139517195
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|a 1139517198
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|a 9781139515542
|q (ebook)
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|a 1139515543
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|a 9781139206990
|q (ebook)
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|a 1139206990
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|z 9781107658561
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|z 110765856X
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|z 9786613685629
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|a (OCoLC)796383885
|z (OCoLC)1168394777
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|a QA273 .T48 2012
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|a HCDD
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|a Tijms, Henk.
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|a Understanding Probability.
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|a 3rd ed.
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|a Cambridge :
|b Cambridge University Press,
|c 2012.
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|a 1 online resource (574 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|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).
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|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.
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|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.
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|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.
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|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.
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|a Using everyday examples to demystify probability, this classic is now in its third edition with new chapters, exercises and examples.
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|a Print version record.
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|a Includes bibliographical references and index.
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|a Chance.
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|a Mathematical analysis.
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|a Probabilities.
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|a probability.
|2 aat
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|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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|a Chance
|2 fast
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|a Mathematical analysis
|2 fast
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|a Probabilities
|2 fast
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|i Print version:
|a Tijms, Henk.
|t Understanding Probability.
|d Cambridge : Cambridge University Press, ©2012
|z 9781107658561
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856 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=944763
|y Click for online access
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|a EBC-AC
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|a 92
|b HCD
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