STAB22H3 Study Guide - Final Guide: Conditional Probability, Bernoulli Distribution, Standard Deviation
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STAB22H3 Full Course Notes
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Clt: larger sample size, closer sample mean will be to population mean. 68% -> ((cid:586) + , (cid:586) - ) 95% -> ((cid:586) + 2 , (cid:586) - 2 ) 99. 7% -> ((cid:586) + 3 , (cid:586) - 3 ) Independent / multiplication rule: p(a b) = p(a) p(b) Lec 12: disjoint: p(a b) = , p(a b) = p(a) + p(b) General addition rule: p(a b) = p(a) + p(b) - p(a b) Lec 13: a = s condition. prob. generalization of pure prob. Conditional probability in relation to intersection, it is called: Independence: p(a) remains same regardless of change in p(b) Disjoint: two events cannot occur at the same time (ie. coin flip) Bayes theorem: determines if p(b|a) shares relation w/ p(a|b) Full: p(b) p(a|b) / [p(a|b) p(b) + p(a|bc) p(bc)] Lec 14: bernoulli distribution: only two outcomes exist (success / failure) ie. on a dice, either 5 is rolled, or not.
