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

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 …

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 …

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.

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.

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 …

Jan 2, 2025 · Calculate the expected value of an experiment. Interpret the expected value of an experiment. Use expected value to analyze applications. The casino game roulette has …

Oct 3, 2025 · 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 …

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

May 27, 2025 · Learn the fundamentals of expectation in probability theory, including its definition, properties, and real-world applications