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Unformatted text preview: Chapter 2: Probability Bin Wang [email protected] Department of Mathematics and Statistics University of South Alabama Montgomery&Runger E4; first created on 08/15/08 Compiled on January 15, 2009by Dr. Bin WANG 1/18 21 Sample Spaces and Events 1 What is random experiment ? An experiment that results in different outcomes. 2 What is sample space ? The set of all possible outcomes of a random experiment is called the sample space of that random experiment. Denoted by S . 3 Discrete and Continuous Sample Space 4 What is an event ? A subset of the sample space of a random experiment. Montgomery&Runger E4; first created on 08/15/08 Compiled on January 15, 2009by Dr. Bin WANG 2/18 21 Sample Spaces and Events 1 Union of two events: E 1 ∪ E 2 : the event that consists of all outcomes that are contained in either of the two events. 2 Intersection of two events: E 1 ∩ E 2 : the event that consists of all outcomes that are contained in both of the two events. 3 Complement of an event: E 1 : the set of outcomes in the sample space that are not in the event. Example Toss a fair die and observe the results. Define events: E 1 := { Get odd number of points } E 2 := { Get at least two points } Find E 1 ∪ E 2 , E 1 ∩ E 2 , E 1 and E 1 ∩ E 2 . Montgomery&Runger E4; first created on 08/15/08 Compiled on January 15, 2009by Dr. Bin WANG 3/18 An Example Example Samples of polycarbonate plastic are analyzed for scratch and shock resistence. The results are listed in the following Table Table: Resistance of polycarbonate plates shock high low scratch high 40 4 low 1 5 Denote A the event that sample has high shock resistance and let B denote the event that a sample has high scratch resistance....
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This note was uploaded on 02/05/2012 for the course ST 315 taught by Professor Staff during the Fall '11 term at S. Alabama.
 Fall '11
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