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2016 | OriginalPaper | Chapter

20. Probability, Statistics and Applications

Author: Gerard O’Regan

Publisher: Springer International Publishing

Published in: Guide to Discrete Mathematics

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Abstract

This chapter discusses probability and statistics and includes a discussion on discrete random variables; probability distributions; sample spaces; sampling; the abuse of statistics; variance and standard deviation; hypothesis testing. Statistics is an empirical science that is concerned with the collection, organization, analysis, interpretation and presentation of data. They allow the behaviour of a population to be studied and inferences to be made about the population. Probability is a way of expressing the likelihood of a particular event occurring, and the applications of probability to the software reliability field and queuing theory are briefly discussed.

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Introduction to Probability and Statistics for Engineers and Scientists. Sheldon M. Ross. Wiley Publications. New York. 1987.

Mathematics in Computing. Second Edition, Gerard O’Regan. Springer. 2012.

Optimizing preventive service of software products. E. Adams. IBM Research Journal, 28(1), pp. 2–14, 1984.

Engineering Software under Statistical Quality Control. Richard H. Cobb and Harlan D. Mills. IEEE Software. 1990.

Operating Systems. H.M. Deitel. 2nd Edition. Addison Wesley.1990.

Fundamentals of Queueing Theory. 4th Edition. Donald Gross and John Shortle. Wiley Interpress. 2008.

Title

Probability, Statistics and Applications

Book

Guide to Discrete Mathematics

Print ISBN: 978-3-319-44560-1

Electronic ISBN: 978-3-319-44561-8

https://doi.org/10.1007/978-3-319-44561-8

DOI

https://doi.org/10.1007/978-3-319-44561-8_20

Author:

Gerard O’Regan

Publisher

Springer International Publishing

Sequence number

Chapter number

Chapter 20