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14111cn7.1-2

14111cn7.1-2 - c Kendra Kilmer Section 7.1 Experiments...

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c Kendra Kilmer October 11, 2011 Section 7.1 - Experiments, Sample Spaces, and Events Definition: An experiment is an activity with an observable result. Definition: The outcome is the result of an experiment. Definition: The sample space is the set of all outcomes of an experiment. Definition: An event is a subset of the sample space. (Note: An event E is said to occur whenever E contains the observed outcome.) Definition: E and F are mutually exclusive if E F = /0. Note: All of the set operations (union, intersection, complement) work the same with events. Example 1: Let’s consider the experiment of rolling a fair six-sided die and observing the number that lands uppermost. a) Determine the sample space. b) Find the event E where E = { x | x is an even number } . c) Find the event F where F = { x | x is a number greater than 2 } d) Find the event ( E F ) e) Find the event ( E F ) f) Are the events E and F mutually exclusive? g) Are the events E and F complementary?

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14111cn7.1-2 - c Kendra Kilmer Section 7.1 Experiments...

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