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Unformatted text preview: e encourages a modeler to have a consistent, if not completely accurate, model.
It also oﬀers a commonly used mathematical language for sharing models and calculations.
Part of the process of learning to use the language of probability theory is learning classiﬁcations
of problems into broad areas. For example, some problems involve ﬁnite numbers of possible
alternatives, while others concern real-valued measurements. Many problems involve interaction of
physically independent processes. Certain laws of nature or mathematics cause some probability
distributions, such as the normal bell-shaped distribution often mentioned in popular literature, to
frequently appear. Thus, there is an emphasis in these notes on well-known probability distributions
and why each of them arises frequently in applications.
These notes were written for the undergraduate course, ECE 313: Probability with Engineering
Applications, oﬀered by the Department of Electrical and Computer Engineering at the University
of Illinois at Urbana-Champaign. The oﬃcial prerequisites of the course insure that students have
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This note was uploaded on 02/09/2014 for the course ISYE 2027 taught by Professor Zahrn during the Spring '08 term at Georgia Institute of Technology.
- Spring '08
- The Land