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2.04-05 - Terminology Chapter 2 Sections 4-5 A Probability...

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1 1 Chapter 2, Sections 4-5 A Probability Model The Discrete Case © John J Currano, 01/25/2010 2 Terminology (Random) Experiment The outcome cannot be predicted with certainty The set of all possible outcomes can be described Examples Toss a coin and observe the face that shows Toss a die and observe the top face Sample output from an industrial process Sample Space – Set of all possible outcomes Its elements are called Sample Points or Outcomes Its subsets are called Events Simple Event : a subset with only one outcome Compound Event : subset with more than one outcome 3 Terminology (Random) Experiment Sample Space – Set of all possible outcomes • Subsets: Events • Elements: Sample Points or Outcomes Discrete Sample Space – Finite or Countably Infinite Example : Toss a die and observe the top face S 1 = { 1, 2, 3, 4, 5, 6 } S 2 = { even, odd } 4 Terminology (Random) Experiment Sample Space – Set of all possible outcomes A Probability Model for an experiment consists of: • A Sample Space , S • A Probability Measure on S A real-valued function, P , defined on the subsets of S (the events) that satisfies certain axioms
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