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Unformatted text preview: Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Lecture 4 Chapter 2: Introduction to Probability Michael Akritas Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Overview The Definition and Meaning of Probability Probability as a Population Proportion Probability as Limiting Relative Frequency The Meaning of Probability Sample Spaces Sample Space and Sample Space Population Events and Set Operations Events Set Operations Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments I What do random sampling, rolling a die, stock market fluctuations, and kicking a football have in common? Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments I What do random sampling, rolling a die, stock market fluctuations, and kicking a football have in common? I Their outcomes are random. Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments I What do random sampling, rolling a die, stock market fluctuations, and kicking a football have in common? I Their outcomes are random. I They are examples of chance phenomena , also called probabilistic experiments , or random experiments . Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments I What do random sampling, rolling a die, stock market fluctuations, and kicking a football have in common? I Their outcomes are random. I They are examples of chance phenomena , also called probabilistic experiments , or random experiments . I So are statistical experiments and observational studies. Michael Akritas Lecture 4 Chapter 2: Introduction to Probability Outline Overview The Definition and Meaning of Probability Sample Spaces Events and Set Operations Random (or Probabilistic) Experiments I What do random sampling, rolling a die, stock market fluctuations, and kicking a football have in common?...
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 Spring '00
 Akritas
 Probability

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