A First Course in ProbabilityFor upper level or undergraduate/graduate level introduction to probability for math, science, engineering, and business students with a background in elementary calculus. This 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 and intuitive explanations are hallmark features of this market leading text. |
Contents
AXIOMS OF PROBABILITY | 24 |
CONDITIONAL PROBABILITY AND INDEPENDENCE | 64 |
RANDOM VARIABLES | 122 |
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answer appears approximately assume average balls binomial called cards Chapter chosen coin components compute conditional probability Consider consists contains continuous defined denote denote the number density function desired determine dice distribution function equal Equation event exactly Example expected expected number expected value experiment exponential Figure Find flips follows given gives heads Hence identity independent inequality instance integral least normal random variable obtain occur otherwise outcomes P₁ pair percent person play player positive possible preceding probability mass function problem proof Proposition prove randomly receive remaining respective result rolled sample selected sequence Show simulate Solution standard step success Suppose theorem tion trials uniform uniformly unit Var(X variable with parameters variance wins X₁ Y₁ yields