ECON10005 Lecture 2: ECON10005B

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29 Aug 2018
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Event: an event (denoted e) may be defined as a collection of outcomes, all of the possible outcomes, probability of an event is denoted p(e), with 0 p(cid:894)e(cid:895) 1. Relative frequency: p(e) = the relative frequency (proportion) of occurrences of e if the random experiment is repeated indefinitely, e. g. random experiment: coin toss. Complement: the complement of an event a is an event denoted a. If an event e contains outcomes {o1, o2, on} then (cid:1842)(cid:4666)(cid:4667)=(cid:1842)(cid:4666)(cid:1841)(cid:2869)(cid:4667)+(cid:1842)(cid:4666)(cid:1841)(cid:2870)(cid:4667)+ +(cid:1842)(cid:4666)(cid:1841)(cid:3041)(cid:4667) If = , then (cid:1842)(cid:4666)(cid:4667)=(cid:882: when there is no intersection the two events are mutually exclusive. Joint probability: (cid:1842)(cid:4666)(cid:1827)(cid:1514)(cid:1828)(cid:4667) is called joint probability of a and b, i. e. the probability that both a and b occur. Marginal probability: p(a) is the marginal probability of a. Independence means the probability of event a occurring is not affected by the knowledge of whether event b occurred, and vice versa.

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