Spring 2011 Final Exam Outline

# Spring 2011 Final Exam Outline - Probability and Statistics...

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Probability and Statistics for Engineering Spring 2011 Final Exam Outline Chapter 1. Introduction to Probability and Counting A. Random Phenomenon (Experiment), Outcome, Sample Space, Event (1.1/1.2) B. Definition of Probability C. Classical Approach to Probability (1.1) D. Multiplication Principle (1.3) E. Permutations (1.3) F. Combinations (1.3) Chapter 2. Some Probability Laws A. Mutually Exclusive Events B. Addition Rules (2.1) C. Conditional Probability (2.2) D. Independent Events (2.3) E. Multiplication Rule (2.3) F. Bayes' Theorem (2.4) Chapter 3. Discrete Distributions A. Random Variables (3.1) B. Discrete vs. Continuous Random Variables (3.1) C. Geometric Series (3.2) D. Densities (3.2) E. Cumulative Distribution Functions (3.2) F. Expected Value (3.3) G. Rules for Expectation (3.3) H. Variance (3.3) I. Shortcut Formula for Variance (3.3) J. Rules for Variance (3.3) K. Standard Deviation (3.3) L. Rules for Standard Deviation (3.3) M. Chebyshev's Inequality (3.3) N. Moments (3.4) O. Moment Generating Function (3.4) P. Bernoulli Trial (3.4) Q. Geometric Random Variable (definition, density, mean, variance, computing probabilities) (3.4) R. Binomial Random Variable (definition, density, mean, variance, computing probabilities) (3.5) S. Negative Binomial Random Variable (definition, density, mean, variance, computing probabilities) (3.6) T. Hypergeometric Random Variable (definition, density, mean, variance, computing probabilities)

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