STAT 1430 Lecture 10: Probabilities Rules February 07, 2019

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Stat1430 lecture 10 probability rules february 7th, 2019: agenda, basic terms and concepts, how to calculate probabilities. Complement rule: special cases (looking at future events how data occurred, basic terms of probability, sample space. Subset of s,a,b etc: probability of an event (characteristic) P(a) = probability of a =long term chance of a. Example: the percentage % of democrats = p(d: conditional probability. P(b|a)=probability of b, given a has occurred. Means the % of group a that have characteristic b. The % of democrats who are male = p (m|d) The % of male democrats = p(m|d) careful: probability of b, out of a group p(b|a) P(a and b)=probability both a and b occur (out of the whole group) P(a or b)=probability a or b or both occur (out of the whole group) Probability that at least one of them occurs. 1. 00: and probabilities: the multiplication rule, for two events a and b, the probability of both events occurring is.

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