STAB52H3 Lecture Notes - Probability Measure, Empty Set, Sample Space
Document Summary
Probability model: experiment: the procedure that generates a random or unpredictable outcome, sample space: the set of all possible outcomes from an experiment. Def: we denote sets by capital letters from the beginning. * we write sets down in two ways: We write a (cid:15468) b iff x (cid:15464) a (cid:736)x (cid:15464) b. * a (cid:15468) b (cid:736) if a is a strict subset of b or a = b (textbook uses (cid:15466)) * a = b if a (cid:15468) b and b (cid:15468) a. * the set with no elements is denoted by and is called the empty set. * we can make new sets from existing sets using boolean algebra. * if a (cid:15471) b = then we say a and b are disjoint (mutually exclusive) i. e. a and b have no elements in common. Events: roll a die, s = { 1, 2, 3, 4, 5, 6 }
