An Introduction to Probability Theory and Its Applications, Volume 1Wiley, 1957 - Probabilities |
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Contents
THE NATURE OF PROBABILITY THEORY | 1 |
THE SAMPLE SPACE | 7 |
CHAPTER | 13 |
Copyright | |
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applies approximation arbitrary arrangements assume balls Bernoulli trials binomial distribution cards cells central limit theorem chapter Chebyshev's inequality coefficient conditional probability consider defined definition derived dice digits elements equal probabilities equation example experiment Find the probability finite follows frequencies function genes genotypes geometric distribution given hence independent random variables inequality infinite integer intuitive joint distribution large numbers law of large lead mathematical means n₁ negative binomial distribution nth trial number of successes number of trials occurs outcomes P₁ pairs particle paths player Poisson distribution population positive integers possible prob probability distribution problem proof prove r₁ random walk recurrent events replacement represents result run of length sample points sample space side statistics Stirling's formula stochastic stochastically independent Suppose theory tion total number u₁ values Var(X variance x-axis X₁ zero