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Unformatted text preview: Chapter 4: Probability Bin Wang [email protected] Department of Mathematics and Statistics University of South Alabama Mann E6 1/29 4.1 Experiment, Outcome, and Sample Space Definition An experiment is a process that, when performed, results in one and only one of many observations. Mann E6 2/29 4.1 Experiment, Outcome, and Sample Space Definition An experiment is a process that, when performed, results in one and only one of many observations. These observations are called the outcomes of the experiment. Mann E6 2/29 4.1 Experiment, Outcome, and Sample Space Definition An experiment is a process that, when performed, results in one and only one of many observations. These observations are called the outcomes of the experiment. The collection of all outcomes for an experiment is called a sample space . Mann E6 2/29 4.1 Experiment, Outcome, and Sample Space Definition An experiment is a process that, when performed, results in one and only one of many observations. These observations are called the outcomes of the experiment. The collection of all outcomes for an experiment is called a sample space . Example Tossing a fair coin. Venn diagram and tree diagram. Mann E6 2/29 4.1 Experiment, Outcome, and Sample Space Definition An experiment is a process that, when performed, results in one and only one of many observations. These observations are called the outcomes of the experiment. The collection of all outcomes for an experiment is called a sample space . Example Tossing a fair coin. Venn diagram and tree diagram. Example Tossing two fair coins. Mann E6 2/29 Mann E6 3/29 Mann E6 4/29 Mann E6 5/29 Mann E6 6/29 Mann E6 7/29 4.1.1 Simple and Compound Events Definition An event is a collection of one or more of the outcomes of an experiment. Mann E6 8/29 4.1.1 Simple and Compound Events Definition An event is a collection of one or more of the outcomes of an experiment. Definition An event that includes one and only one of the (final) outcomes for an experiment is called a simple event and is usually denoted by E i . Mann E6 8/29 4.1.1 Simple and Compound Events Definition An event is a collection of one or more of the outcomes of an experiment. Definition An event that includes one and only one of the (final) outcomes for an experiment is called a simple event and is usually denoted by E i . Example (Tossing two fair coins) Find simple events in this experiment. Mann E6 8/29 4.1.1 Simple and Compound Events Definition An event is a collection of one or more of the outcomes of an experiment. Definition An event that includes one and only one of the (final) outcomes for an experiment is called a simple event and is usually denoted by E i . Example (Tossing two fair coins) Find simple events in this experiment....
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This note was uploaded on 02/05/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.
 Fall '09
 Wangs

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