Probability - Modular Mathematics Series

  • ID: 1769928
  • Book
  • 192 Pages
  • Elsevier Science and Technology
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Probability is relevant to so many different subject areas that its importance as a mathematical technique cannot be underestimated. This book provides a comprehensive, user-friendly introduction to the subject. The step-by-step approach taken by the author allows students to develop knowledge at their own pace and, by working through the numerous exercises, they are ensured a full understanding of the material before moving on to more advanced sections. Traditional examples of probablistic theory, such as coins and dice, are included but the author has also used many exercises based on real-life problems. The result is an introduction to probability that avoids the overly confusing, theoretical approach often adopted in this area, and provides a simple and concise text that will be invaluable to all studying first and second year courses on the subject.

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Modelling uncertainty
Sample space and events
Definitions of probability
Equally-likely outcomes
The axioms of probability
Conditional probability and independence
Bayes' theorem
Discrete random variables
The binomial and related distributions
Other special discrete distributions
Moments
Continuous random variables
The normal distribution
Functions of a random variable
Bivariate discrete distributions
Sums of independent random variables
The Central Limit theorem
Final thoughts
Answers to selected exercises
References
Index
Appendix 1
Table of random digits
Appendix 2
Table of the standard normal cumulative distribution function
Index.
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McColl, John
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