Printer-friendly version. Expected Value (i.e., Mean) of a Discrete Random Variable. Law of Large Numbers: Given a large number of repeated trials, the average. In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents. For example Definition · General definition · Properties · Uses and applications. Anticipated value for a given investment. In statistics and probability analysis, expected value is calculated by multiplying each of the possible outcomes by the.
Expected Value and Variance of Discrete Random Variables This improper integral is a shorthand for and it is well-defined only if the expected value limits are finite. When the absolute summability condition is not satisfied, we say that the expected value of is not well-defined or that it does not exist. Definition Alte juwelen spielen be a sample spacea probability measure defined on the events of and a random variable defined on. A discrete random variable is a random variable that can only take on a certain number of values. Let be a -dimensional random vector and denote its components by ,