COMPSCI 240 Lecture Notes - Lecture 6: Random Variable, Sample Space

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I a process that results in exactly one of several possible outcomes: sample space = the set of all possible outcomes of an experiment ] a event a subset of. Atomic event events consisting of a single outcome. Valued function that maps from the sample space to the real numbers r a a. Consider rolling two fair four sided dice. The outcomes ret are pairs r= ( h , be ) where k , rz both take values on the set. Er a random variable defines a single real number. Note that it is possible to have multiple. Rr we can use it to construct a different event for each value of er : A random variable is called discrete it its input l sample span ) is either finite or. We can compute the probability of an event h. *= x } by decomposing it into atomic events and using the probability mk :

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