DS_Lecture_29.pdf - Lecture 29 Conditional Probabilities and Bayes Rule Dr Chengjiang Long Computer Vision Researcher at Kitware Inc Adjunct Professor

# DS_Lecture_29.pdf - Lecture 29 Conditional Probabilities...

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Lecture 29: Conditional Probabilities and Bayes Rule Dr. Chengjiang Long Computer Vision Researcher at Kitware Inc. Adjunct Professor at SUNY at Albany. Email: [email protected]

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C. Long Lecture 29 November 6, 2018 2 ICEN/ICSI210 Discrete Structures Outline Random variables and statistical independence Conditional Probability Sum and Product Rules Bayes Rule
C. Long Lecture 29 November 6, 2018 3 ICEN/ICSI210 Discrete Structures Outline Random variables and statistical independence Conditional Probability Sum and Product Rules Bayes Rule

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C. Long Lecture 29 November 6, 2018 4 ICEN/ICSI210 Discrete Structures Pairs of Discrete Random Variables Let x and y be two discrete r.v. • For each possible pair of values, we can define a joint probability P(x, y) • We can also define a joint probability mass function P(x,y) which offers a complete characterization of the pair of
C. Long Lecture 29 November 6, 2018 5 ICEN/ICSI210 Discrete Structures Statistical Independence Two random variables x and y are said to be independent, if and only if that is, when knowing the value of x does not give us additional information for the value of y.

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