In probability theory, the expected value of a random variable X {\displaystyle X} , often denoted E ( X ) {\displaystyle \operatorname {E} (X)} , E [ X ] {\displaystyle \operatorname {E} [X]} , or E X {\displaystyle EX} , is a generalization of the weighted average, and is intuitively the arithmetic mean of a large number of independent realizations of X {\displaystyle X} . The expectation operator E {\displaystyle \operatorname {E} } is also commonly stylized as E {\displaystyle E} or E {\displaystyle \mathbb {E} } . The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment. Expected value is a key concept in economics, finance, and many other subjects.
By definition, the expected value of a constant random variable X = c {\displaystyle X=c} is c {\displaystyle c} . The expected value of a random variable reference
Ever curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.
Allow To Receive Free Coins Credit 🪙