STAT151 Lecture Notes - Lecture 9: Mutual Exclusivity, Statistical Inference, Sample Space

• School: University of Alberta
• Department: Statistics
• Course: STAT151
• Professor: Sean Graves

Document Summary

Section 6 / chapters 12-13 - probability concepts and rules: probability theory - the science of uncertainty, mathematical basis for inferential statistics. In other words, p(s) = 1: p(impossible event) = 0, p(guaranteed event) = 1. Interpretations of probability: equal-likelihood model - prediction based on a theoretical model (ie. you will get a head. 0. 5 times after 1 coin flip, theoretically: law of large numbers (lln) - the probability of an event tends towards a single value the more trials there are. Example: proportion of an event - cumulative percentage of the event. If there are n possible outcomes that are equally likely, a being an event, then: p(a) = f/n, probability = relative frequency. A(cid:373)e rule (cid:271)ut (cid:449)ithout the last ter(cid:373) (cid:271)e(cid:272)ause a a(cid:374)d b (cid:272)a(cid:374)"t (cid:271)oth o(cid:272)(cid:272)ur at the same time: you do(cid:374)"t (cid:374)eed to su(cid:271)tra(cid:272)t the o(cid:448)erlap (cid:271)e(cid:272)ause (cid:374)othi(cid:374)g o(cid:448)erlaps, mutually exclusive means that a intersect b is impossible.