2.04-05 - Terminology Chapter 2 Sections 4-5 A Probability Model The Discrete Case(Random Experiment The outcome cannot be predicted with certainty

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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 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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2 5 Axiom 3 is known as countable additivity and states that the
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This note was uploaded on 02/23/2011 for the course MATH 444 taught by Professor Any during the Fall '10 term at Roosevelt.

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2.04-05 - Terminology Chapter 2 Sections 4-5 A Probability Model The Discrete Case(Random Experiment The outcome cannot be predicted with certainty

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