MTHE 224 Lecture Notes - Fuel Dispenser, Mutual Exclusivity, Sample Space

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It will be helpful, before we get too much further, to de ne some nomenclature and properties of probabilities and experiments. De nition: the sample space s of an experiment is the set containing all possible outcomes for an experiment. Example 9: two gas stations are located at an intersection. What is the sample space for the experiment in which we measure the number of pumps in each at each station at a particular time of day. De nition: an event is any subset of some prede ned sample space s. that is, an event e is a set of possible outcomes for an experiment. An event is simple if it contains only one outcome. It is compound if it contains more than one outcome. Example 10: suppose a coin is tossed three times. Example 11: suppose we re-examine the gas pump example. The sample space is listed below determine the set which represents the following events.

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