Expectations

An expectation of value $E(X)$ means the expectation or average of a given Random Variable Probability has everything to do with expectations. Thought of as the weighted center of a Probability Distribution.

Expectation Formula

$E(X)={\sum }_X^{}x{p}_x(x)$

• $X$ is the given random variable
• $x$ is the given trial
• $p_x(x)$ is the PMF

Properties

• Linearity $E(aX+bY)=aE(X)+bE(Y)$

Concepts

• Fair Game
• Expected Value Example
• Expected Value of Function
• Expected Value of Indicator RV
• Expected Value of Continuous RV