SCO 2550 Lecture 3: Chapter 3 9-14-17
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Inferenti(l st(tistics m(kes inferences (bout unknown popul(tions b(sed on s(mples. Prob(bility uses known popul(tion to c(lcul(te the ch(nce of getting cert(in s(mples. Underst(nding prob(bility helps us m(ke inferences in st(tistics. Experiments (re processes of observing d(t( th(t le(ds to ( predict(ble cert(in outcome. S%mple points (re the most b(sic, deconstructed outcome of (n experiment. S%mple sp%des (re collections of (ll s(mple points in (n experiment. Prob%bility is the numeric(l likelihood of (n event h(ppening during (n experiment. Compliment- prob(bility of compliment (nd non compliment =1, like he(ds (nd t(ils. Mutu(lly exclusive event- dr(wing ( red or ( bl(ck in ( deck, no intersecting events. Additive rule- (dd fr(ctions of e(ch item s prob(bility to equ(l tot(l prob(bility. Given- condition th(t either n(rrows, widens, or h(s no effect on (n experiment. Multiplic(tive rule- p(a (nd b)= p(a n b)=p(a) x p(b|a)=p(b) x p(a|b) Multiplic(tive rule for independent events- p(a (nd b)=p(a n b) p(a) x.