In probability theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment) is a generalization of the …

In this post, learn how to find an expected value for different cases and calculate it using formulas for various probability distributions. We’ll work through example calculations for expected values in …

Jan 2, 2025 · As we noted, the expected value of an experiment is the mean of the values we would observe if we repeated the experiment a large number of times. (This interpretation is due to an …

Definition (informal) The expected value of a random variable is the weighted average of the values that can take on, where each possible value is weighted by its respective probability.

Oct 3, 2025 · In mathematics, the expected value (also known as the mean, expectation, or average) of a random variable is a measure of the central tendency or average outcome of that variable over …

To gain further insights about the behavior of random variables, we first consider their expectation, which is also called mean value or expected value. The definition of expectation follows our intuition.

Mar 5, 2026 · Expected value, in general, the value that is most likely the result of the next repeated trial of a statistical experiment. The probability of all possible outcomes is factored into the calculations …

We would like to define its average, or as it is called in probability, its expected value or mean. The expected value is defined as the weighted average of the values in the range.

This lecture is about the notion of expectation of a random variable, and a really cool property called linearity of expectation which makes computing expected values so much easier.

In probability and statistics, the expectation or expected value, is the weighted average value of a random variable.