STA220H1 Lecture Notes - Lecture 6: Random Variable, Probability Distribution, Non-Sampling Error
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STA220H1 Full Course Notes
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Theoretical probability: probability comes from a model (e. g. equally likely outcomes) Personal probability: probability is subjective and represents your personal degree of belief, e. g. getting an a on a test. Probability rules: probability assignment for any event a, 0 p(a) 1, total probability rule the set of possible outcomes of a trial must have probability 1 p(s) = 1, addition rule: Disjoint (or mutually exclusive) events have no outcomes in common. For two disjoint events a and b, the probability that one or the other occurs is the sum of the probabilities of the two events: , provided that a and b are disjoint: complement rule set of outcomes that are not in event a is called the complement of a, denoted a c. P ( a b)=p ( a )+p (b ) p( a b) Conditional probability: the probability of event b given event a: