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STAB52H3 (22)
Lecture

# LEC 02

6 Pages
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School
University of Toronto Scarborough
Department
Statistics
Course
STAB52H3
Professor
Mike Moras
Semester
Summer

Description
Probability Model 1. Experiment: The procedure that generates a random or unpredictable outcome. 2. Sample Space: The set of all possible outcomes from an experiment. Aside - Set Theory Def: we denote sets by capital letters from the beginning. A set is a collection of objects. * we write sets down in two ways: * Suppose A, B are two sets. We write A 㱬 B iff x 㱨 A ˠx 㱨 B * A 㱬 B ˠ if A is a strict subset of B or A = B (textbook uses 㱪) * A = B if A 㱬 B and B 㱬 A * The set with no elements is denoted by Φ and is called the empty set. * We can make new sets from existing sets using Boolean algebra * If A 㱯 B = Φ then we say A and B are disjoint (mutually exclusive) i.e. A and B have no elements in common Events: 1. Roll a die, S = { 1, 2, 3, 4, 5, 6 } Let A = the event "fall on an even number" A = { 2, 4, 6 } i.e outcomes
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