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Unformatted text preview: Outline Conditional Probability Lecture 7 Chapter 2: Introduction to Probability Michael Akritas Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the other variable. Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the other variable. The updated probabilities are called conditional probabilities . Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the other variable. The updated probabilities are called conditional probabilities . I Knowing a mans height helps update the probability that he weighs over 170lb. Michael Akritas Lecture 7 Chapter 2: Introduction to Probability Outline Conditional Probability Updating Probabilities Conditional Probability; Multiplication Rule The Law of Total Probability Bayes Theorem In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the other variable. The updated probabilities are called conditional probabilities ....
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 Spring '00
 Akritas
 Conditional Probability, Probability

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