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\indexentry{Spikegraph (program)|hyperpage}{6}
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\indexentry{WELDON, W. F. R.|hyperpage}{9}
\indexentry{WOLF, R.|hyperpage}{9}
\indexentry{PEARSON, K.|hyperpage}{9}
\indexentry{TIPPETT, L. H. C.|hyperpage}{10}
\indexentry{RAND Corporation|hyperpage}{10}
\indexentry{von NEUMANN, J.|hyperpage}{10}
\indexentry{modular arithmetic|hyperpage}{10}
\indexentry{McCRACKEN, D.|hyperpage}{10}
\indexentry{von NEUMANN, J.|hyperpage}{11}
\indexentry{ULAM, S.|hyperpage}{11}
\indexentry{FELLER, W.|hyperpage}{11}
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\indexentry{BARNHART, R.|hyperpage}{11}
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\indexentry{LUSINCHI, D.|hyperpage}{12}
\indexentry{Labouchere betting system|hyperpage}{12}
\indexentry{LABOUCHERE, H. du P.|hyperpage}{12}
\indexentry{CONDORCET, Le Marquis de|hyperpage}{12}
\indexentry{GALILEO, G.|hyperpage}{13}
\indexentry{raquetball|hyperpage}{13}
\indexentry{roulette|hyperpage}{13}
\indexentry{Labouchere betting system|hyperpage}{13}
\indexentry{martingale betting system|hyperpage}{14}
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\indexentry{Gallup Poll|hyperpage}{14}
\indexentry{TVERSKY, A.|hyperpage}{14}
\indexentry{hospital|hyperpage}{14}
\indexentry{babies|hyperpage}{14}
\indexentry{Philadelphia 76ers|hyperpage}{15}
\indexentry{P\'OLYA, G.|hyperpage}{15}
\indexentry{P\'OLYA, G.|hyperpage}{17}
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\indexentry{sample space|hyperpage}{18}
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\indexentry{outcome|hyperpage}{18}
\indexentry{event|hyperpage}{18}
\indexentry{distribution function|hyperpage}{19}
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\indexentry{finite additivity property|hyperpage}{23}
\indexentry{tree diagram|hyperpage}{24}
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\indexentry{snakeeyes|hyperpage}{27}
\indexentry{boxcars|hyperpage}{27}
\indexentry{odds|hyperpage}{27}
\indexentry{Dartmouth|hyperpage}{27}
\indexentry{Harvard|hyperpage}{27}
\indexentry{sample space!infinite|hyperpage}{28}
\indexentry{sample space!countably infinite|hyperpage}{28}
\indexentry{geometric series|hyperpage}{29}
\indexentry{Egypt|hyperpage}{30}
\indexentry{Greece|hyperpage}{30}
\indexentry{Rome|hyperpage}{30}
\indexentry{HACKING, I.|hyperpage}{30}
\indexentry{CARDANO, G.|(hyperpage}{30}
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\indexentry{ORE, O.|hyperpage}{31}
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\indexentry{calendar|hyperpage}{38}
\indexentry{BROWN, B. H.|hyperpage}{38}
\indexentry{Linda problem|hyperpage}{38}
\indexentry{TVERSKY, A.|hyperpage}{39}
\indexentry{KAHNEMAN, D.|hyperpage}{39}
\indexentry{conjunction fallacy|hyperpage}{39}
\indexentry{fallacy|hyperpage}{39}
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\indexentry{random integer|hyperpage}{39}
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\indexentry{continuum|hyperpage}{41}
\indexentry{spinner|hyperpage}{41}
\indexentry{rnd|hyperpage}{42}
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\indexentry{Buffon's needle|(hyperpage}{44}
\indexentry{BuffonsNeedle (program)|hyperpage}{45}
\indexentry{PERLMAN, M. D.|hyperpage}{45}
\indexentry{WICHURA, M. J.|hyperpage}{45}
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\indexentry{Buffon's needle|)hyperpage}{46}
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\indexentry{normal density|hyperpage}{47}
\indexentry{bell-shaped|hyperpage}{47}
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\indexentry{chord, random|hyperpage}{47}
\indexentry{BertrandsParadox (program)|hyperpage}{49}
\indexentry{BERTRAND, J.|hyperpage}{49}
\indexentry{JAYNES, E. T.|hyperpage}{49}
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\indexentry{BUFFON, G. L.|(hyperpage}{50}
\indexentry{Buffon's needle|(hyperpage}{51}
\indexentry{BUFFON, G. L.|)hyperpage}{51}
\indexentry{LAPLACE, P. S.|hyperpage}{51}
\indexentry{GRIDGEMAN, N. T.|hyperpage}{51}
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\indexentry{Chicago World's Fair|hyperpage}{52}
\indexentry{Buffon's needle|hyperpage}{52}
\indexentry{Buffon's needle|hyperpage}{53}
\indexentry{LAPLACE, P. S.|hyperpage}{53}
\indexentry{Buffon's needle|hyperpage}{53}
\indexentry{exponential density|hyperpage}{54}
\indexentry{density function!exponential|hyperpage}{54}
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\indexentry{spinner|hyperpage}{55}
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\indexentry{darts|hyperpage}{56}
\indexentry{darts|hyperpage}{57}
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\indexentry{density function|hyperpage}{59}
\indexentry{spinner|hyperpage}{59}
\indexentry{darts|hyperpage}{60}
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\indexentry{uniform density function|hyperpage}{60}
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\indexentry{Lockhorn, Mr.\ and Mrs.|hyperpage}{67}
\indexentry{Hanover Inn|hyperpage}{67}
\indexentry{radioactive isotope|hyperpage}{68}
\indexentry{cars on a highway|hyperpage}{68}
\indexentry{light bulb|hyperpage}{68}
\indexentry{exponential density|hyperpage}{68}
\indexentry{density function!exponential|hyperpage}{68}
\indexentry{hard drive, Warp 9|hyperpage}{68}
\indexentry{memoryless property|hyperpage}{69}
\indexentry{tree diagram!infinite binary|hyperpage}{70}
\indexentry{binary expansion|hyperpage}{70}
\indexentry{Law of Large Numbers!Strong|hyperpage}{71}
\indexentry{Strong Law of Large\\ Numbers|hyperpage}{71}
\indexentry{Law of Averages|hyperpage}{71}
\indexentry{frequency concept of probability|hyperpage}{71}
\indexentry{darts|hyperpage}{72}
\indexentry{radioactive isotope|hyperpage}{72}
\indexentry{light bulb|hyperpage}{72}
\indexentry{stick of unit length|hyperpage}{74}
\indexentry{stick of unit length|hyperpage}{74}
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\indexentry{triangle!acute|hyperpage}{74}
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\indexentry{birthday problem|hyperpage}{79}
\indexentry{Birthday (program)|hyperpage}{80}
\indexentry{permutation|hyperpage}{81}
\indexentry{factorial|hyperpage}{82}
\indexentry{$n"!$|hyperpage}{82}
\indexentry{asymptotically equal|hyperpage}{82}
\indexentry{Stirling's formula|hyperpage}{83}
\indexentry{StirlingApproximations\\ (program)|hyperpage}{83}
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\indexentry{permutation!fixed points of|hyperpage}{84}
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\indexentry{library problem|hyperpage}{85}
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\indexentry{records|hyperpage}{85}
\indexentry{snowfall in Hanover|hyperpage}{85}
\indexentry{Records (program)|hyperpage}{86}
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\indexentry{nursery rhyme|hyperpage}{86}
\indexentry{St. Ives|hyperpage}{86}
\indexentry{BIGGS, N. L.|hyperpage}{87}
\indexentry{EUCLID|hyperpage}{87}
\indexentry{hat check problem|hyperpage}{87}
\indexentry{de MONTMORT, P. R.|hyperpage}{87}
\indexentry{Treize|hyperpage}{87}
\indexentry{derangement|hyperpage}{88}
\indexentry{DAVID, F. N.|hyperpage}{88}
\indexentry{vos SAVANT, M.|hyperpage}{88}
\indexentry{PRICE, C.|hyperpage}{88}
\indexentry{frustration solitaire|hyperpage}{88}
\indexentry{RIORDAN, J.|hyperpage}{89}
\indexentry{DOYLE, P. G.|hyperpage}{89}
\indexentry{GRINSTEAD, C. M.|hyperpage}{90}
\indexentry{SNELL, J. L.|hyperpage}{90}
\indexentry{von MISES, R.|hyperpage}{90}
\indexentry{STIRLING, J.|hyperpage}{90}
\indexentry{de MOIVRE, A.|hyperpage}{90}
\indexentry{elevator|hyperpage}{91}
\indexentry{Zorg, planet of|hyperpage}{92}
\indexentry{WILF, H. S.|hyperpage}{93}
\indexentry{Holmes, Sherlock|hyperpage}{93}
\indexentry{watches, counterfeit|hyperpage}{93}
\indexentry{Maximum Likelihood\\ Principle|hyperpage}{93}
\indexentry{binomial coefficient|hyperpage}{95}
\indexentry{Pascal's triangle|hyperpage}{96}
\indexentry{poker|hyperpage}{97}
\indexentry{Bernoulli trials process|hyperpage}{99}
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\indexentry{binomial distribution|hyperpage}{102}
\indexentry{distribution function!binomial|hyperpage}{102}
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\indexentry{Galton board|hyperpage}{102}
\indexentry{GaltonBoard (program)|hyperpage}{102}
\indexentry{hypothesis testing|hyperpage}{104}
\indexentry{type 1 error|hyperpage}{104}
\indexentry{type 2 error|hyperpage}{104}
\indexentry{PowerCurve (program)|hyperpage}{105}
\indexentry{Binomial Theorem|hyperpage}{106}
\indexentry{Pascal's triangle|hyperpage}{106}
\indexentry{Inclusion-Exclusion Principle|hyperpage}{107}
\indexentry{hat check problem|hyperpage}{108}
\indexentry{FELLER, W.|hyperpage}{109}
\indexentry{photons|hyperpage}{109}
\indexentry{protons|hyperpage}{109}
\indexentry{Bose-Einstein statistics|hyperpage}{110}
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\indexentry{FELLER, W.|hyperpage}{110}
\indexentry{quantum mechanics|hyperpage}{110}
\indexentry{helium|hyperpage}{110}
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\indexentry{EDWARDS, A. W. F.|hyperpage}{111}
\indexentry{Pascal's triangle|hyperpage}{111}
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\indexentry{triangular numbers|hyperpage}{111}
\indexentry{tetrahedral numbers|hyperpage}{111}
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\indexentry{TARTAGLIA, N.|hyperpage}{113}
\indexentry{STIFEL, M.|hyperpage}{113}
\indexentry{CARDANO, G.|hyperpage}{113}
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\indexentry{elevator|hyperpage}{119}
\indexentry{Maximum Likelihood\\ Principle|hyperpage}{120}
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\indexentry{New York Yankees|hyperpage}{120}
\indexentry{LUCAS, E.|hyperpage}{122}
\indexentry{shuffling|hyperpage}{122}
\indexentry{MANN, B.|hyperpage}{122}
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\indexentry{BAYER, D.|hyperpage}{122}
\indexentry{riffle shuffle|hyperpage}{123}
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\indexentry{random ordering|hyperpage}{130}
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\indexentry{Yang|hyperpage}{133}
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\indexentry{conditional distribution|hyperpage}{138}
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\indexentry{WHITAKER, C.|hyperpage}{141}
\indexentry{vos SAVANT, M.|hyperpage}{141}
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\indexentry{goat|hyperpage}{141}
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\indexentry{independence of random\\ variables|hyperpage}{147}
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\indexentry{Bayes' formula|hyperpage}{150}
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\indexentry{cancer|hyperpage}{152}
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\indexentry{HUDDE, J.|hyperpage}{153}
\indexentry{HACKING, I.|hyperpage}{153}
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\indexentry{BAYES, T.|hyperpage}{153}
\indexentry{BERNOULLI, J.|hyperpage}{153}
\indexentry{MAISTROV, L.|hyperpage}{154}
\indexentry{Polya urn model|hyperpage}{157}
\indexentry{JOHNSONBOUGH, R.|hyperpage}{157}
\indexentry{CHUNG, K. L.|hyperpage}{157}
\indexentry{Pickwick, Mr.|hyperpage}{158}
\indexentry{Collins, People v.|hyperpage}{158}
\indexentry{People v. Collins|hyperpage}{158}
\indexentry{beard|hyperpage}{158}
\indexentry{mustache|hyperpage}{158}
\indexentry{ponytail|hyperpage}{158}
\indexentry{Woodstock|hyperpage}{159}
\indexentry{Tunbridge|hyperpage}{159}
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\indexentry{FERMAT, P.|hyperpage}{162}
\indexentry{ANDERSON, C. L.|hyperpage}{162}
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\indexentry{tennis|hyperpage}{162}
\indexentry{racquetball|hyperpage}{162}
\indexentry{volleyball|hyperpage}{163}
\indexentry{WOLFORD, G.|hyperpage}{164}
\indexentry{EISENBERG, B.|hyperpage}{165}
\indexentry{GHOSH, B. K.|hyperpage}{165}
\indexentry{suit event|hyperpage}{165}
\indexentry{rank event|hyperpage}{165}
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\indexentry{events!repulsion of|hyperpage}{165}
\indexentry{FALK, R.|hyperpage}{166}
\indexentry{LIPSON, A.|hyperpage}{166}
\indexentry{KONOLD, C.|hyperpage}{166}
\indexentry{Wall Street Journal|hyperpage}{166}
\indexentry{CROSSEN, C.|hyperpage}{166}
\indexentry{GRANBERG, D.|hyperpage}{166}
\indexentry{Monty Hall problem|hyperpage}{166}
\indexentry{conditional density|hyperpage}{167}
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\indexentry{spinner|hyperpage}{167}
\indexentry{darts|hyperpage}{168}
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\indexentry{memoryless property|hyperpage}{169}
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\indexentry{darts|hyperpage}{169}
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\indexentry{joint cumulative distribution\\ function|hyperpage}{170}
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\indexentry{independence of random variables!mutual|hyperpage}{170}
\indexentry{independence of random\\ variables|hyperpage}{170}
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\indexentry{beta density|hyperpage}{173}
\indexentry{two-armed bandit|hyperpage}{176}
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\indexentry{VANDERBEI, R.|hyperpage}{181}
\indexentry{BAR-HILLEL, M.|hyperpage}{181}
\indexentry{FALK, R.|hyperpage}{181}
\indexentry{GELLER, S.|hyperpage}{182}
\indexentry{vos SAVANT, M.|hyperpage}{182}
\indexentry{Ali|hyperpage}{182}
\indexentry{Baba|hyperpage}{182}
\indexentry{FINN, J.|hyperpage}{184}
\indexentry{BRAMS, S.|hyperpage}{185}
\indexentry{KILGOUR, D. M.|hyperpage}{185}
\indexentry{envelopes|hyperpage}{185}
\indexentry{envelopes|hyperpage}{186}
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\indexentry{Box paradox|hyperpage}{186}
\indexentry{Two aces problem|hyperpage}{187}
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\indexentry{GRIDGEMAN, N. T.|hyperpage}{187}
\indexentry{vos SAVANT, M.|hyperpage}{187}
\indexentry{GARDNER, M.|hyperpage}{187}
\indexentry{bridge|hyperpage}{187}
\indexentry{BRAMS, S.|hyperpage}{187}
\indexentry{KILGOUR, D. M.|hyperpage}{187}
\indexentry{bridge|hyperpage}{187}
\indexentry{SUTHERLAND, E.|hyperpage}{187}
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\indexentry{binomial distribution|hyperpage}{190}
\indexentry{geometric distribution|hyperpage}{190}
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\indexentry{queues|hyperpage}{192}
\indexentry{negative binomial distribution|hyperpage}{192}
\indexentry{distribution function!negative binomial|hyperpage}{192}
\indexentry{Poisson distribution|hyperpage}{193}
\indexentry{distribution function!Poisson|hyperpage}{193}
\indexentry{typesetter|hyperpage}{195}
\indexentry{Poisson approximation to the\\ binomial distribution|hyperpage}{195}
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\indexentry{flying bombs|hyperpage}{197}
\indexentry{hypergeometric distribution|hyperpage}{199}
\indexentry{distribution function!hypergeometric|hyperpage}{199}
\indexentry{Fisher's Exact Test|hyperpage}{199}
\indexentry{Benford distribution|hyperpage}{201}
\indexentry{distribution function!Benford|hyperpage}{201}
\indexentry{HILL, T.|hyperpage}{202}
\indexentry{NIGRINI, M.|hyperpage}{202}
\indexentry{financial records!suspicious|hyperpage}{202}
\indexentry{tax returns|hyperpage}{202}
\indexentry{Clinton, Bill|hyperpage}{202}
\indexentry{NEWCOMB, S.|hyperpage}{202}
\indexentry{trout|hyperpage}{204}
\indexentry{maximum likelihood\\ estimate|hyperpage}{204}
\indexentry{bridge|hyperpage}{206}
\indexentry{KEMENY, J. G.|hyperpage}{206}
\indexentry{PROSSER, R.|hyperpage}{206}
\indexentry{FELLER, W.|hyperpage}{207}
\indexentry{flying bombs|hyperpage}{207}
\indexentry{von BORTKIEWICZ, L.|hyperpage}{207}
\indexentry{mule kicks|hyperpage}{207}
\indexentry{Collins, People v.|hyperpage}{208}
\indexentry{People v. Collins|hyperpage}{208}
\indexentry{Euler's formula|hyperpage}{208}
\indexentry{maximum likelihood\\ estimate|hyperpage}{208}
\indexentry{moose|hyperpage}{209}
\indexentry{Isle Royale|hyperpage}{209}
\indexentry{bridge|hyperpage}{209}
\indexentry{Powerball lottery|hyperpage}{210}
\indexentry{lottery!Powerball|hyperpage}{210}
\indexentry{density function!uniform|hyperpage}{211}
\indexentry{uniform density|hyperpage}{211}
\indexentry{exponential density|hyperpage}{211}
\indexentry{density function!exponential|hyperpage}{211}
\indexentry{memoryless property|hyperpage}{212}
\indexentry{gamma density|hyperpage}{213}
\indexentry{density function!gamma|hyperpage}{213}
\indexentry{queues|hyperpage}{214}
\indexentry{interarrival time, average|hyperpage}{214}
\indexentry{service time, average|hyperpage}{214}
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\indexentry{simulating a random variable|hyperpage}{217}
\indexentry{normal density|hyperpage}{218}
\indexentry{density function!normal|hyperpage}{218}
\indexentry{BOX, G. E. P.|hyperpage}{219}
\indexentry{MULLER, M. E.|hyperpage}{219}
\indexentry{standard normal random\\ variable|hyperpage}{220}
\indexentry{density function!Maxwell|hyperpage}{221}
\indexentry{Maxwell density|hyperpage}{221}
\indexentry{density function!Rayleigh|hyperpage}{221}
\indexentry{Rayleigh density|hyperpage}{221}
\indexentry{chi-squared density|hyperpage}{222}
\indexentry{density function!chi-squared|hyperpage}{222}
\indexentry{traits, independence of|hyperpage}{222}
\indexentry{degrees of freedom|hyperpage}{224}
\indexentry{Cauchy density|hyperpage}{225}
\indexentry{density function!Cauchy|hyperpage}{225}
\indexentry{FELLER, W.|hyperpage}{225}
\indexentry{paternity suit|hyperpage}{228}
\indexentry{density function!log normal|hyperpage}{230}
\indexentry{log normal density|hyperpage}{230}
\indexentry{Die (program)|hyperpage}{231}
\indexentry{expected value|hyperpage}{232}
\indexentry{mean|hyperpage}{232}
\indexentry{St. Petersburg Paradox|hyperpage}{233}
\indexentry{CRAMER, G.|hyperpage}{233}
\indexentry{BERNOULLI, D.|hyperpage}{233}
\indexentry{utility function|hyperpage}{233}
\indexentry{run|hyperpage}{235}
\indexentry{First Fundamental Mystery of Probability|hyperpage}{238}
\indexentry{records|hyperpage}{241}
\indexentry{craps|hyperpage}{241}
\indexentry{Craps (program)|hyperpage}{241}
\indexentry{roulette|hyperpage}{243}
\indexentry{SAGAN, H.|hyperpage}{243}
\indexentry{conditional expectation|hyperpage}{246}
\indexentry{craps|hyperpage}{246}
\indexentry{fair game|hyperpage}{247}
\indexentry{martingale|hyperpage}{247}
\indexentry{gambling systems|hyperpage}{247}
\indexentry{stock prices|hyperpage}{248}
\indexentry{Ace, Mr.|hyperpage}{248}
\indexentry{StockSystem (program)|hyperpage}{248}
\indexentry{martingale|hyperpage}{248}
\indexentry{PASCAL, B.|hyperpage}{249}
\indexentry{HUYGENS, C.|(hyperpage}{250}
\indexentry{HUYGENS, C.|)hyperpage}{252}
\indexentry{PASCAL, B.|hyperpage}{252}
\indexentry{existence of God|hyperpage}{252}
\indexentry{annuity|hyperpage}{252}
\indexentry{GRAUNT, J.|hyperpage}{252}
\indexentry{mortality table|hyperpage}{252}
\indexentry{annuity!terminal|hyperpage}{253}
\indexentry{annuity!life|hyperpage}{253}
\indexentry{THORP, E.|hyperpage}{253}
\indexentry{blackjack|hyperpage}{253}
\indexentry{martingale betting system|hyperpage}{255}
\indexentry{CARDANO, G.|hyperpage}{255}
\indexentry{hospital|hyperpage}{256}
\indexentry{babies|hyperpage}{256}
\indexentry{ESP|hyperpage}{257}
\indexentry{DIACONIS, P.|hyperpage}{257}
\indexentry{GRAHAM, R.|hyperpage}{257}
\indexentry{ESP|hyperpage}{257}
\indexentry{tea|hyperpage}{259}
\indexentry{milk|hyperpage}{259}
\indexentry{FISHER, R. A.|hyperpage}{259}
\indexentry{blackjack|hyperpage}{259}
\indexentry{THORP, E.|hyperpage}{259}
\indexentry{Wheaties|hyperpage}{260}
\indexentry{New York Yankees|hyperpage}{260}
\indexentry{FELLER, W.|hyperpage}{260}
\indexentry{blood test|hyperpage}{260}
\indexentry{SCHULTZ, H.|hyperpage}{261}
\indexentry{Banach's Matchbox|hyperpage}{261}
\indexentry{PITTEL, B.|hyperpage}{262}
\indexentry{telephone books|hyperpage}{262}
\indexentry{PROPP, J.|hyperpage}{262}
\indexentry{SHULTZ, H.|hyperpage}{263}
\indexentry{LEONARD, B.|hyperpage}{263}
\indexentry{variance|hyperpage}{264}
\indexentry{standard deviation|hyperpage}{264}
\indexentry{variance!calculation of|hyperpage}{265}
\indexentry{Poisson distribution!variance of|hyperpage}{269}
\indexentry{standardized random variable|hyperpage}{271}
\indexentry{sample mean|hyperpage}{272}
\indexentry{sample variance|hyperpage}{272}
\indexentry{sample standard deviation|hyperpage}{272}
\indexentry{unbiased estimator|hyperpage}{272}
\indexentry{spread|hyperpage}{273}
\indexentry{true-false exam|hyperpage}{273}
\indexentry{LAMPERTI, J.|hyperpage}{274}
\indexentry{expected value|hyperpage}{275}
\indexentry{ROSS, S.|hyperpage}{277}
\indexentry{variance|hyperpage}{278}
\indexentry{queues|hyperpage}{282}
\indexentry{Little's law for queues|hyperpage}{283}
\indexentry{ROSS, S.|hyperpage}{283}
\indexentry{Pilsdorff Beer Company|hyperpage}{286}
\indexentry{Hangtown|hyperpage}{286}
\indexentry{Dry Gulch|hyperpage}{286}
\indexentry{GALTON, F.|hyperpage}{289}
\indexentry{regression on the mean|hyperpage}{289}
\indexentry{HAMMING, R. W.|hyperpage}{291}
\indexentry{HAMMING, R. W.|hyperpage}{291}
\indexentry{convolution|hyperpage}{294}
\indexentry{bridge|hyperpage}{295}
\indexentry{point count|hyperpage}{295}
\indexentry{NFoldConvolution (program)|hyperpage}{295}
\indexentry{EPSTEIN, R.|hyperpage}{297}
\indexentry{convolution!of binomial distributions|hyperpage}{297}
\indexentry{convolution!of geometric distributions|hyperpage}{297}
\indexentry{convolution|hyperpage}{299}
\indexentry{convolution!of uniform densities|hyperpage}{300}
\indexentry{convolution!of exponential densities|hyperpage}{300}
\indexentry{convolution!of normal densities|hyperpage}{302}
\indexentry{convolution!of Cauchy densities|hyperpage}{302}
\indexentry{density function!Rayleigh|hyperpage}{303}
\indexentry{Rayleigh density|hyperpage}{303}
\indexentry{chi-squared density|hyperpage}{304}
\indexentry{density function!chi-squared|hyperpage}{304}
\indexentry{DieTest (program)|hyperpage}{305}
\indexentry{convolution!of uniform densities|hyperpage}{307}
\indexentry{USPENSKY, J. B.|hyperpage}{307}
\indexentry{convolution!of standard normal densities|hyperpage}{307}
\indexentry{convolution!of exponential densities|hyperpage}{308}
\indexentry{GALAMBOS, J.|hyperpage}{311}
\indexentry{COATES, R. M.|hyperpage}{313}
\indexentry{Chebyshev Inequality|hyperpage}{313}
\indexentry{Law of Large Numbers|hyperpage}{315}
\indexentry{Law (program)|hyperpage}{318}
\indexentry{BERNOULLI, J.|(hyperpage}{318}
\indexentry{BIENAYM\'E, I.|hyperpage}{318}
\indexentry{MAISTROV, L.|hyperpage}{318}
\indexentry{BERNOULLI, J.|)hyperpage}{320}
\indexentry{CHEBYSHEV, P. L.|hyperpage}{321}
\indexentry{Strong Law of Large\\ Numbers|hyperpage}{322}
\indexentry{Weierstrass Approximation Theorem|hyperpage}{323}
\indexentry{Chebyshev Inequality|hyperpage}{324}
\indexentry{Chebyshev Inequality|hyperpage}{324}
\indexentry{Law of Large Numbers|hyperpage}{324}
\indexentry{LawContinuous (program)|hyperpage}{327}
\indexentry{NormalArea (program)|hyperpage}{330}
\indexentry{LAMPERTI, J.|hyperpage}{332}
\indexentry{Central Limit Theorem|hyperpage}{333}
\indexentry{standardized sum|hyperpage}{334}
\indexentry{CLTBernoulliPlot (program)|hyperpage}{335}
\indexentry{Central Limit Theorem!for Binomial Distributions|hyperpage}{336}
\indexentry{binomial distribution!approximating a|hyperpage}{337}
\indexentry{CLTBernoulliLocal (program)|hyperpage}{337}
\indexentry{Central Limit Theorem!for Bernoulli Trials|hyperpage}{338}
\indexentry{CLTBernoulliGlobal|hyperpage}{340}
\indexentry{statistics!applications of the Central Limit Theorem to|hyperpage}{341}
\indexentry{polls|hyperpage}{341}
\indexentry{sample|hyperpage}{341}
\indexentry{confidence interval|hyperpage}{342}
\indexentry{margin of error|hyperpage}{343}
\indexentry{Gallup Poll|hyperpage}{344}
\indexentry{Presidential election|hyperpage}{344}
\indexentry{de MOIVRE, A.|hyperpage}{344}
\indexentry{DAVID, F. N.|hyperpage}{345}
\indexentry{New York Times|hyperpage}{348}
\indexentry{CLTIndTrialsPlot (program)|hyperpage}{349}
\indexentry{CLTIndTrialsLocal (program)|hyperpage}{350}
\indexentry{Central Limit Theorem!for discrete independent trials\\ process|hyperpage}{351}
\indexentry{grade point average|hyperpage}{351}
\indexentry{KOZELKA, R. M.|hyperpage}{352}
\indexentry{LINDEBERG, J. W.|hyperpage}{352}
\indexentry{FELLER, W.|hyperpage}{352}
\indexentry{Central Limit Theorem!for discrete independent random variables|hyperpage}{353}
\indexentry{CLTGeneral (program)|hyperpage}{353}
\indexentry{genetics|hyperpage}{353}
\indexentry{heights!distribution of|hyperpage}{353}
\indexentry{HANES data|hyperpage}{353}
\indexentry{GALTON, F.|hyperpage}{353}
\indexentry{regression to the mean|hyperpage}{353}
\indexentry{cells|hyperpage}{355}
\indexentry{chromosomes|hyperpage}{356}
\indexentry{genes|hyperpage}{356}
\indexentry{DNA|hyperpage}{356}
\indexentry{alleles|hyperpage}{356}
\indexentry{genotypes|hyperpage}{356}
\indexentry{multiple-gene hypothesis|hyperpage}{356}
\indexentry{Hardy-Weinberg Law|hyperpage}{357}
\indexentry{QUETELET, A.|hyperpage}{358}
\indexentry{LAPLACE, P. S.|hyperpage}{358}
\indexentry{GALTON, F.|hyperpage}{358}
\indexentry{STIGLER, S.|hyperpage}{358}
\indexentry{quincunx|hyperpage}{359}
\indexentry{Galton board|hyperpage}{359}
\indexentry{PEARSON, K.|hyperpage}{359}
\indexentry{reversion|hyperpage}{360}
\indexentry{regression to the mean|hyperpage}{360}
\indexentry{Central Limit Theorem!for continuous independent trials process|hyperpage}{366}
\indexentry{confidence interval|hyperpage}{368}
\indexentry{GOSSET, W. S.|hyperpage}{368}
\indexentry{density function!t-|hyperpage}{368}
\indexentry{t-density|hyperpage}{368}
\indexentry{moments|hyperpage}{373}
\indexentry{generating function!moment|hyperpage}{374}
\indexentry{moment generating function|hyperpage}{374}
\indexentry{moment problem|hyperpage}{376}
\indexentry{Vandermonde determinant|hyperpage}{378}
\indexentry{ordinary generating function|hyperpage}{378}
\indexentry{generating function!ordinary|hyperpage}{378}
\indexentry{branching process|hyperpage}{385}
\indexentry{GALTON, F.|hyperpage}{386}
\indexentry{WATSON, H. W.|hyperpage}{386}
\indexentry{HEYDE, C.|hyperpage}{386}
\indexentry{SENETA, E.|hyperpage}{386}
\indexentry{BIENAYM\'E, I.|hyperpage}{386}
\indexentry{KENDALL, D. G.|hyperpage}{387}
\indexentry{extinction, problem of|hyperpage}{387}
\indexentry{Branch (program)|hyperpage}{390}
\indexentry{KEYFITZ, N.|hyperpage}{391}
\indexentry{BranchingSimulation (program)|hyperpage}{396}
\indexentry{HUIZINGA, F.|hyperpage}{398}
\indexentry{chain letter|hyperpage}{398}
\indexentry{Circle of Gold|hyperpage}{398}
\indexentry{branching process!customer|hyperpage}{402}
\indexentry{customer branching process|hyperpage}{402}
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\indexentry{moments|hyperpage}{402}
\indexentry{moment generating function|hyperpage}{403}
\indexentry{generating function!moment|hyperpage}{403}
\indexentry{moment problem|hyperpage}{406}
\indexentry{characteristic function|hyperpage}{406}
\indexentry{Fourier transform|hyperpage}{406}
\indexentry{Central Limit Theorem!proof of|hyperpage}{406}
\indexentry{Cauchy density|hyperpage}{409}
\indexentry{density function!Cauchy|hyperpage}{409}
\indexentry{Markov chain|hyperpage}{413}
\indexentry{state!of a Markov chain|hyperpage}{413}
\indexentry{transition probability|hyperpage}{414}
\indexentry{probability!transition|hyperpage}{414}
\indexentry{HOWARD, R. A.|hyperpage}{414}
\indexentry{KEMENY, J. G.|hyperpage}{414}
\indexentry{SNELL, J. L.|hyperpage}{414}
\indexentry{THOMPSON, G. L.|hyperpage}{414}
\indexentry{Oz, Land of|hyperpage}{414}
\indexentry{transition matrix|hyperpage}{414}
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\indexentry{probability!vector|hyperpage}{415}
\indexentry{Ehrenfest model|hyperpage}{418}
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\indexentry{EHRENFEST, P.|hyperpage}{418}
\indexentry{EHRENFEST, T|hyperpage}{418}
\indexentry{genes|hyperpage}{419}
\indexentry{stepping stones|hyperpage}{420}
\indexentry{SAWYER, S.|hyperpage}{420}
\indexentry{SteppingStone (program)|hyperpage}{421}
\indexentry{Markov chain!absorbing|hyperpage}{424}
\indexentry{absorbing Markov chain|hyperpage}{424}
\indexentry{state!absorbing|hyperpage}{424}
\indexentry{absorbing state|hyperpage}{424}
\indexentry{state!transient|hyperpage}{424}
\indexentry{transient state|hyperpage}{424}
\indexentry{Drunkard's Walk example|hyperpage}{424}
\indexentry{canonical form of an absorbing\\ Markov chain|hyperpage}{425}
\indexentry{fundamental matrix|hyperpage}{427}
\indexentry{matrix!fundamental|hyperpage}{427}
\indexentry{Drunkard's Walk example|hyperpage}{427}
\indexentry{time to absorption|hyperpage}{428}
\indexentry{absorption probabilities|hyperpage}{428}
\indexentry{Drunkard's Walk example|hyperpage}{429}
\indexentry{AbsorbingChain (program)|hyperpage}{430}
\indexentry{Drunkard's Walk example|hyperpage}{430}
\indexentry{Drunkard's Walk example|hyperpage}{431}
\indexentry{tennis|hyperpage}{432}
\indexentry{color-blindness|hyperpage}{433}
\indexentry{GONSHOR, H.|hyperpage}{433}
\indexentry{BROWN, E.|hyperpage}{433}
\indexentry{ROBERTS, F.|hyperpage}{434}
\indexentry{LEONTIEF, W. W.|hyperpage}{434}
\indexentry{Gambler's Ruin|hyperpage}{435}
\indexentry{Drunkard's Walk example|hyperpage}{436}
\indexentry{harmonic function|hyperpage}{436}
\indexentry{martingale|hyperpage}{437}
\indexentry{roulette|hyperpage}{440}
\indexentry{PENNEY, W.|hyperpage}{440}
\indexentry{CONWAY, J.|hyperpage}{440}
\indexentry{ergodic Markov chain|hyperpage}{441}
\indexentry{Markov chain!ergodic|hyperpage}{441}
\indexentry{irreducible Markov chain|hyperpage}{441}
\indexentry{Markov chain!irreducible|hyperpage}{441}
\indexentry{regular Markov chain|hyperpage}{441}
\indexentry{Markov chain!regular|hyperpage}{441}
\indexentry{Ehrenfest model|hyperpage}{442}
\indexentry{gas diffusion!Ehrenfest model of|hyperpage}{442}
\indexentry{fixed row vector|hyperpage}{444}
\indexentry{fixed column vector|hyperpage}{444}
\indexentry{FixedVector (program)|hyperpage}{445}
\indexentry{Law of Large Numbers!for Ergodic Markov Chains|hyperpage}{447}
\indexentry{SimulateChain (program)|hyperpage}{448}
\indexentry{Oz, Land of|hyperpage}{448}
\indexentry{rat|hyperpage}{449}
\indexentry{maze|hyperpage}{449}
\indexentry{Ehrenfest model|hyperpage}{450}
\indexentry{gas diffusion!Ehrenfest model of|hyperpage}{450}
\indexentry{Drunkard's Walk example|hyperpage}{452}
\indexentry{SENETA, E.|hyperpage}{453}
\indexentry{ENGLE, A.|hyperpage}{454}
\indexentry{Fundamental Limit Theorem for Regular Markov Chains|hyperpage}{457}
\indexentry{Markov Chains!Fundamental Limit Theorem for Regular|hyperpage}{457}
\indexentry{DOEBLIN, W.|hyperpage}{458}
\indexentry{mean first passage time|hyperpage}{461}
\indexentry{rat|hyperpage}{461}
\indexentry{maze|hyperpage}{461}
\indexentry{mean recurrence time|hyperpage}{463}
\indexentry{mean first passage matrix|hyperpage}{464}
\indexentry{mean recurrence matrix|hyperpage}{464}
\indexentry{fundamental matrix!for a regular Markov chain|hyperpage}{466}
\indexentry{fundamental matrix!for an ergodic Markov chain|hyperpage}{467}
\indexentry{Ehrenfest model|hyperpage}{470}
\indexentry{gas diffusion!Ehrenfest model of|hyperpage}{470}
\indexentry{Ehrenfest model|hyperpage}{470}
\indexentry{gas diffusion!Ehrenfest model of|hyperpage}{470}
\indexentry{EhrenfestUrn (program)|hyperpage}{471}
\indexentry{reversibility|hyperpage}{471}
\indexentry{Central Limit Theorem!for Markov Chains|hyperpage}{474}
\indexentry{Markov Chains!Central Limit Theorem for|hyperpage}{474}
\indexentry{MARKOV, A. A.|hyperpage}{474}
\indexentry{SHANNON, C. E.|hyperpage}{475}
\indexentry{WEAVER, W.|hyperpage}{475}
\indexentry{FRECHET, M.|hyperpage}{475}
\indexentry{KEMENY, J. G.|hyperpage}{475}
\indexentry{SNELL, J. L.|hyperpage}{475}
\indexentry{CROWELL, R.|hyperpage}{478}
\indexentry{craps|hyperpage}{478}
\indexentry{Kemeny's constant|hyperpage}{478}
\indexentry{Monopoly|hyperpage}{479}
\indexentry{DOYLE, P. G.|hyperpage}{479}
\indexentry{Kemeny's constant|hyperpage}{479}
\indexentry{random walk|hyperpage}{481}
\indexentry{equalization|hyperpage}{482}
\indexentry{return to the origin|hyperpage}{482}
\indexentry{first return to the origin|hyperpage}{483}
\indexentry{return to the origin!first|hyperpage}{483}
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\indexentry{P\'OLYA, G.|hyperpage}{485}
\indexentry{equalizations!expected number of|hyperpage}{489}
\indexentry{lead change|hyperpage}{492}
\indexentry{last return to the origin|hyperpage}{492}
\indexentry{return to the origin!last|hyperpage}{492}
\indexentry{LEVASSEUR, K.|hyperpage}{495}
\indexentry{ZAGIER, D.|hyperpage}{495}
\indexentry{Gambler's Ruin|hyperpage}{496}
\indexentry{Gambler's Ruin|hyperpage}{497}
\indexentry{de MOIVRE, A.|hyperpage}{499}
\indexentry{DAVID, F. N.|hyperpage}{499}
\indexentry{arc sine laws|hyperpage}{503}
\indexentry{arc sine laws|hyperpage}{503}
\indexentry{first maximum of a random walk|hyperpage}{506}