Probability and Statistics for Engineers (ENGC 6310) Review.

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Presentation transcript:

Probability and Statistics for Engineers (ENGC 6310) Review

Chapter 2 – Venn Diagram

Axioms of Probability

Counting Permutations combinations

Discrete Probability Distributions

ExamplesFunctionDistribution Fair Die coin Uniform # of success in n trials: Success of test or experiment Multiple choice tests Defective parts of factory # of parts conform to standards Binomial # of trials until first success: Samples/tests until detecting a problem Repeated tests until success Geometric # of events in an interval Cracks in km of a road Leakages in Km of a network Storms per a month Accidents per a month Pits in km2 Poisson

Continuous Probability Distributions

ExamplesFunctionDistribution Uniform probability experiments Uniform Most of engineering processes: Experiments with continuous data Large sample size Random process outcome Normal Distance between successive counts of Poisson process Exponential Experiments of large variation in X: 0 – 10000… Lognormal

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