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Introduction to Probability (Dover Books on Advanced Mathematics)by John E Freund
Synopses & ReviewsPublisher Comments:Thorough, lucid coverage of permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, binomial distribution, geometric distribution, standard deviation, law of large numbers, and much more. Exercises with some solutions. Summary. Bibliography. Includes 42 blackandwhite illustrations. 1973 edition. Synopsis:Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition. Synopsis:Lucid, wellwritten chapters introduce the reader to the concept of possibilities, including combinations and permutations; probabilities; expectations; the law of large numbers, including Chebyshev's theorem; and more. Numerous exercises throughout reinforce the methods and ideas explained. The volume demonstrates that the study of probability can be fun, challenging, and relevant.
Table of ContentsINTRODUCTION
1 POSSIBILITIES Introduction Tree Diagrams Multiplication Rules Permutations Factorials Indistinguishable Objects Combinations Binomial Coefficients 2 PROBABILITIES Introduction The Classical Concept Probabilities and Odds The Frequency Interpretation Subjective Probabilities Summary 3 EXPECTATIONS Introduction Mathematical Expectation Expectations and Subjective Probabilities Utility Decision Making 4 EVENTS Introduction The Sample Space Events Compound Events The Number of Elements in a Set 5 RULES OF PROBABILITY Introduction The Postulates of Probability Probability Measures Some Further Rules General Addition Rules 6 CONDITIONAL PROBABILITIES Introduction Conditional Probability Multiplication Rules Rule of Elimination Bayes' Rule 7 PROBABILITY DISTRIBUTIONS Introduction Probability Functions The Mean The Binomial Distribution Binomial Tables A Bayesian Application The Hypergeometric Distribution The Geometric Distribution The Multinomial Distribution 8 THE LAW OF LARGE NUMBERS Introduction The Standard Deviation Chebyshev's Theorem The Law of Large Numbers Technical Note SUMMARY BIBLIOGRAPHY TABLES ANSWERS TO ODDNUMBERED EXERCISES INDEX What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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