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Lecture1_Motivation

Lecture1_Motivation - ECE 340 Probabilistic Methods in...

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ECE 340 Probabilistic Methods in Engineering M/W 3-4:15 Prof. Vince Calhoun Prof. Vince Calhoun Lecture I: Introduction/Motivation Lecture I: Introduction/Motivation
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Reading This class: Section 1.1-1.6 Next class: Section 2.1-2.2
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ECE 340 Introduction to Probability Theory • Models • Deterministic • Probabilistic Relative frequency Axiomatic approach
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ECE 340
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The Engineering Method and Statistical Thinking Engineers solve problems of interest to society by the efficient application of scientific principles The engineering or scientific method is the approach to formulating and solving these problems.
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The Engineering Method and Statistical Thinking The Field of Probability Used to quantify likelihood or chance • Used to represent risk or uncertainty in engineering applications • Can be interpreted as our degree of belief or relative frequency The Field of Statistics • Deals with the collection, presentation, analysis, and use of data to make decisions and solve problems. Overall: Statistics is a set of methods used to collect and analyze data. Those statistical methods help people identify, study, and solve a variety of problems. Statistics help people make good decisions about uncertain situations. Probability is used to describe events that do not occur with certainty.
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The Engineering Method and Statistical Thinking Statistical techniques are useful for describing and understanding variability . By variability, we mean successive observations of a system or phenomenon do not produce exactly the same result. • Statistics gives us a framework for describing this variability and for learning about potential sources of variability .
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Probability: Basic Ideas • Terminology: Trial: each time you repeat an experiment Outcome:
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