STAT230 Study Guide - Exponential Distribution, Moment-Generating Function, Royal Institute Of Technology

• School: University of Waterloo
• Department: Statistics
• Course: STAT230
• Professor: professor

Document Summary

Consider a random experiment with a # of possible outcomes: Sample space(s): set of all possible distinct outcomes. Event(a): a possible outcome, or groups/sets of possible outcomes. The number of ways an event can occur number of possible outcomes in s (1) Limitations: classical all points need be equally likely relative need in nite number of points subjective opinion based. An experiment is a repeatable phenomenon or process, while a trial is a single repetition of an experiment. Sample space: a sample space is a set of distinct outcomes for an experiment, with the property that in a single trial one and only one of these outcomes occurs. Roll a 6 sided die, ai =top face is i for i=1 to 6, E is the event an even number turns up, o is the event an odd number turns up. S = {a1, a2, a3, a4, a5, a6} , or s = {e,o} The sample space is not necessarily unique.