ECON10005 Chapter Notes - Chapter 2: Statistical Inference, Frequentist Probability, Mutual Exclusivity
25 Aug 2018
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A and b are two sets of outcomes in a sample space s. Subset: every element in a is also in b. > a is a subset of b (a b) Strict subset: a b and b includes elements not included in a, a is a strict subset of b (a b) Set difference: (a\b) the set difference between a and. B: the set of outcomes included in a but not in b: vocabulary. A situation with uncertainty, and includes the sample space, a collection of relevant events, and probabilities assigned to those events. A and b are mutually exclusive when they have no outcomes in common. A and b are independent if the probability of a occurring is unaffected by knowledge of whether b occurred, and the reverse: probability: Probabilities across all outcomes must sum to one: P (cid:507)o(cid:343)(cid:508) + p (cid:507)o(cid:344)(cid:508) + = p (cid:507)s(cid:508) = (cid:343) (cid:507)with (cid:342) p (cid:507)e(cid:508) (cid:343)(cid:508)
