STA215H5 Lecture Notes - Lecture 5: Sample Space
30 Sep 2018
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Lec101 notes: unit 4 (part 2) probability. Unit 4 objectives: calculate probabilities from word problems, draw venn diagrams for different sets, understand the terms mutually exclusive, independent and conditions events, calculate the probabilities of mutually exclusive, independent and conditional events. A chance experiment is the process of generating one (or more) random observations. A trial is generating one random observation; an outcome is the observation you obtain from that one trial. Sample spaces: containing all possible outcomes: de(cid:374)oted as (cid:862) (cid:863); is a set a(cid:374)d a(cid:374) e(cid:448)e(cid:374)t (cid:894)e(cid:895, events are subsets of the sample space, outcomes are elements of a sample space. Empirical probability: approximating a probability using a sample data. Subjective probability: having little to no past evidence or empirical results: (cid:862)e(cid:455)e-(cid:271)alli(cid:374)g (cid:449)ithout di(cid:396)e(cid:272)t o(cid:271)se(cid:396)(cid:448)atio(cid:374)s(cid:863), a guess. Rules of probability: probability of a complement, co(cid:373)ple(cid:373)e(cid:374)t (cid:373)ea(cid:374)i(cid:374)g (cid:862)(cid:374)ot(cid:863) p(ec) = 1 p(e) Sample question: you roll a fair, six sided die.
