STATS 10 Study Guide - Midterm Guide: Venn Diagram
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Empirical vs. theoretical probabilities: empirical, trials/experience, theoretical, long-run, (cid:862)(cid:449)hat (cid:449)e expe(cid:272)t(cid:863) Law of large numbers (lln: as the number of trials increases, the empirical prob. 40% of people are female and are on tinder. Half the class is not on tinder: table. 100: p(m and not tinder) = 40/100, p(m or not tinder) = p(m) + p(not) p(m and not) = 50 + 50 . 40 = 60/100: p(m | tinder) = 10/50, p(tinder | m) = 10/50. Formulas (and definitions: p(a or b) = p(a) + p(b) p(a and b, p(a and b) = p(a) * p(b) // only if a and b = independent: and = multiply. Tree diagrams: used in conditional probability: p(a|b) -> (cid:862)|(cid:863) = gi(cid:448)e(cid:374) = (cid:272)o(cid:374)ditio(cid:374)al, example, at a college, 55% are female, of females, 60% like rap music, of males, 70% like rap music, what"s the pro(cid:271). Of (cid:271)ei(cid:374)g fe(cid:373)ale if i k(cid:374)o(cid:449) a perso(cid:374) likes rap (cid:373)usi(cid:272): tree diagram:
