A First Course in ProbabilityA First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus. |
Contents
Axioms of Probability | 22 |
Theoretical Exercises | 54 |
Conditional Probability and Independence | 60 |
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Common terms and phrases
binomial random variable cards central limit theorem Chebyshev's inequality coin compute conditional probability continuous random variable coupons Cov(X defined denote the event denote the number desired probability dice discrete random variable distribution function distribution with parameters E[X² equal Equation EXAMPLE expected number expected value exponential random variable Find the probability flips follows function F given Hence independent random variables independent trials inequality joint density function joint probability lands on heads large numbers Let X denote Let X1 moment generating function nonnegative normal distribution normal random variable obtain occur outcome pair percent permutation player Poisson random variable preceding probability density function probability mass function Proposition random number random vari result sequence Show simulating Solution standard normal random Suppose uniformly distributed Var(X variable with mean variable with parameters variance o² white balls wins X₁ Y₁ yields σχ