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Roulette wheel vector free12/9/2023 In the axiomatic foundation for probability provided by measure theory, the expectation is given by Lebesgue integration. In the case of a continuum of possible outcomes, the expectation is defined by integration. The expected value of a random variable with a finite number of outcomes is a weighted average of all possible outcomes. Since it is obtained through arithmetic, the expected value sometimes may not even be included in the sample data set it is not the value you would "expect" to get in reality. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable. In probability theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average.
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