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Chapter 1 - IENG 213: Probability and Statistics for...

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Click to edit Master subtitle style IENG 213: Probability and Statistics for Engineers Instructor: Steven E. Guffey, PhD Chapte r 1 © 2002-2007 Introduction to Statistics and Data Analysis
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22 Statistics and Uncertainty In theoretical physics and math, there is one right answer and it is exact. In the real world, there is uncertainty. There are only probabilities of occurrences, not absolute confidence in any exact outcome. Statistical analyses uses population data to define uncertainty and to determine the range of likely answers. It is useful and powerful, but it can be very, very wrong if done or interpreted with poor understanding. “Lies, damn lies, and statistics”
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33 Course Chapters 1) Introduction Overview of statistics vs probability Definitions Sampling (random) Measures of location (e.g., average) and variability Discrete vs continuous data 2) Probability Sample space Permutations and combinations Additive and multiplicative rules Conditional probability Bayes’ rule
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44 Course Chapters 3) Random variables and probability distributions What is random variable? Discrete and continuous variables Joint probability 4) Mathematical Expectation (calculus) & Random Variables Mean Variance and co-variance Linear combinations
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55 Course Chapters 5) Discrete probability distributions Uniform Binomial Hypergeometric Negative binomial and geometric Poisson 6) Continuous probability distributions Uniform Normal Gamma and exponential Chi-squared Log-normal
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66 Course Chapters 7) Functions of Random Variables (Omit) 8) Fundamental sampling distributions Random sampling Sampling distributions of means Sampling distributions of proportions Sampling distributions of variance
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77 Course Chapters 9) Confidence Intervals (single sample and difference between two samples) Means Proportions Error of a point estimate Prediction intervals Tolerance limits Variance
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88 Course Chapters 10) Hypothesis Testing (single sample and difference between two samples) Formulating hypotheses
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Chapter 1 - IENG 213: Probability and Statistics for...

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