IE 23000 Chapter Notes - Chapter 2: Mutual Exclusivity, Sample Space, Empty Set

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2. 1. 2 sample spaces: the set of all possible outcomes of a random experiment is called the sample space. The sample space is denoted as s: discrete sample space consists of a finite or countable infinite set of outcomes. 2. 1. 3 events: continuous sample space contains an interval of real numbers, an event is a subset of the sample space of a random experiment, union of two events is the event that consists of all outcomes in either. For two events e1 and e2 with (e1 and e2) = empty set, p(e1 u. E2) = p(e1) + p(e2: p(a u b) = p(a) + p(b) p(a b . If a and b are mutually exclusive events: p ( a b)=p( a )+p(b: said to be mutually exclusive if a and b = an empty set. 2. 5 multiplication and total probability rules: multiplication rule for probabilities.

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