An Introduction to Probability Theory and Its Applications, Volume 1 |
Contents
THE NATURE OF PROBABILITY THEORY | 1 |
THE SAMPLE SPACE | 7 |
ELEMENTS OF COMBINATORIAL ANALYSIS | 26 |
Copyright | |
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Common terms and phrases
a₁ applies arbitrary assume balls Bernoulli trials binomial coefficient binomial distribution cards cells central limit theorem chance fluctuations chapter coin conditional probability consider corresponding defined denote derived dice digits elements equally probable event example expected number experiment Find the probability finite follows frequencies function genes genotypes geometric distribution given hence independent random variables inequality infinite integer intuitive joint distribution k₁ large numbers law of large lemma means n₁ negative binomial distribution normal approximation Np(k nth trial number of paths number of successes observed outcomes P₁ pairs pairwise independent particles path of length player Poisson distribution population possible probability distribution probability theory problem proof Prove r₁ random walk replacement represents result S₁ sample points sample space statistics Stirling's formula stochastic stochastically independent Suppose tossing total number values variance X₁