STA 3154 Chapter Notes - Chapter 1: Sample Space, Set Function, Empty Set
Document Summary
Random experiments: experiments whose outcome cannot be predicted with certainty. Outcome space: the collection of all possible outcomes denoted by s. A s : a is a part of the collection of outcomes in s. Denotes the null or empty set; A b means a is a subset of b; A b is the union of a and b; A b is the intersection of a and b; A" is the complement of a (i. e. , all elements in s that are not in a). Associative laws (a b) c = a (b c) (a b) c = a (b c) A (b c) = (a b) (a c) De morgan"s laws (a b) = a b (a b) = a b. The ratio n(a)/ n is called the relative frequency of event a in these n repetitions of the experiment.
