ECON321 Lecture Notes - Lecture 2: Econometrics, Random Variable, Bernoulli Distribution

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Outcomes mutually exclusive potential results of a random process. Sample space the set of all possible outcomes. Event a set of one or more outcomes. Random variable - a numerical summary of a random outcome. Experiment any procedure that can, in theory, be infinitely repeated & has a well defined set of outcomes. A random variable can be defined as having an outcome determined by an experiment. Probability the proportion of the time that a particular outcome occurs in the long run. Bernoulli random variable a random variable that takes on only two values {0,1}. Discrete random variable a random variable that takes on only finite or countably infinite values. Continuous random variable a random variable that takes on an infinite number of values. Probability distribution list of all possible values of a variable and the probability that each value will occur.

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