## A First Course in ProbabilityThis market-leading introduction to probability features exceptionally clear explanations of the mathematics of probability theory and explores its many diverse applications through numerous interesting and motivational examples. The outstanding problem sets are a hallmark feature of this book. Provides clear, complete explanations to fully explain mathematical concepts. Features subsections on the probabilistic method and the maximum-minimums identity. Includes many new examples relating to DNA matching, utility, finance, and applications of the probabilistic method. Features an intuitive treatment of probability—intuitive explanations follow many examples. The Probability Models Disk included with each copy of the book, contains six probability models that are referenced in the book and allow readers to quickly and easily perform calculations and simulations. |

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#### Review: A First Course in Probability

User Review - Jette Stuart - GoodreadsIf you love probability.. you will love this book. Concise, detailed and loaded with examples. This is the book that your professor is really teaching you from! Read full review

#### Review: A First Course in Probability

User Review - Ehsan - GoodreadsSo hard and boring but it's examples were complete and perfect Read full review

### Contents

AXIOMS OF PROBABILITY | 24 |

CONDITIONAL PROBABILITY AND INDEPENDENCE | 64 |

RANDOM VARIABLES | 122 |

Copyright | |

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### Common terms and phrases

approximately assume ball number binomial random variable black balls cards central limit theorem components compute conditional probability Consider contains continuous random variable deﬁned denote the event denote the number desired probability dice discrete random variable distribution function distribution with parameters equal Equation Example expected number expected value exponential random variable Find the probability ﬁrst ﬂips follows function f given Hence HINT identically distributed independent trials inequality integer joint density function joint probability large numbers least Let X denote nonnegative normal random variable normally distributed number of successes obtain occur P(EF pair percent permutation player Poisson random variable preceding prob probability density function probability mass function problem Proposition random number random vari randomly chosen result sample space sequence Show simulate Solution Let subset Suppose tion total number uniformly distributed Var(X variable with mean variable with parameters white balls wins