ioe265f11-Lec03

# ioe265f11-Lec03 - Lec03-Probability Properties Probability...

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Lec03-Probability Properties IOE 265 F11 1 1 Probability Concepts/Properties 2 Probability factoids Branch of mathematics that goes back more than 300 years How did it get started? -> Games of Chance! Gambler’s dispute in 1654 between two famous French mathematicians: Blaise Pascal and Pierre de Fermat The game consisted in throwing a pair of dice 24 times; the problem was to decide whether or not to bet money on the occurrence of at least one "double six" during the 24 throws

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Lec03-Probability Properties IOE 265 F11 2 3 Topics Sample Spaces and Events Venn Diagrams – Unions / Intersections / Complements Probability Views Properties of Probability 4 Sample Spaces Sample Space Set of all possible outcomes from an experiment. Examples: Two Possible Outcomes: part defective, not defective >2 Discrete Outcomes: rolling a die (1, 2, 3, 4, 5, 6) Continuous Variable Outcomes: length of desk measurements (infinite number of possible outcomes) Sample spaces with multiple components Suppose you have a twin-engine plane. What are all the possible outcomes if each engine is either defective or not defective during a flight?
Lec03-Probability Properties IOE 265 F11 3 5 Other Examples: Sample Spaces IOE Students Voters, TV Viewers Restaurants in Ann Arbor Automobiles produced at Ford’s Rouge plant 6 Events Subset of outcomes contained in the sample space. Simple Event – exactly one outcome Compound Event – more than one outcome

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Lec03-Probability Properties IOE 265 F11 4 7 Simple Event Unique outcome of an experiment Some examples of simple events: Flipping a Tail when tossing a coin Rolling a 3 when tossing a dice
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## This note was uploaded on 01/05/2012 for the course IOE 265 taught by Professor Jin during the Fall '07 term at University of Michigan.

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ioe265f11-Lec03 - Lec03-Probability Properties Probability...

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