Articles containing proofs | Theory of probability distributions

Expected value

In probability theory, the expected value (also called expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable. The expected value of a random variable with a finite number of outcomes is a weighted average of all possible outcomes. In the case of a continuum of possible outcomes, the expectation is defined by integration. In the axiomatic foundation for probability provided by measure theory, the expectation is given by Lebesgue integration. The expected value of a random variable X is often denoted by E(X), E[X], or EX, with E also often stylized as E or (Wikipedia).

Expected value
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Expected Value Example and Intuitive Explanation

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Expected Value Example and Intuitive Explanation

From playlist Statistics

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Expected Value

This video introduces and provides 2 examples of expected value. http://mathispower4u.com

From playlist Probability

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Expected Value Formula

A quick introduction to expected value formulas.

From playlist Basic Statistics (Descriptive Statistics)

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Prob & Stats - Random Variable & Prob Distribution (12 of 53) The Expected Value Ex. 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will define expected value of a random variable and find the expected value of the number of customers standing in line in a grocery store. Next video in series: http://youtu.be/k2l3BCd6Xjk

From playlist iLecturesOnline: Probability & Stats 2: Random Variable & Probability Distribution

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How to find an Expected Value

How to find expected value by hand and in Excel using SUMPRODUCT.

From playlist Basic Statistics (Descriptive Statistics)

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Expected Value of the Bernoulli Distribution | Probability Theory

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From playlist Probability Theory

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Expected Value: E(X)

Expected value of a random variable

From playlist Statistics

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Expectation Values in Quantum Mechanics

Expectation values in quantum mechanics are an important tool, which help us to mathematically describe measurements of quantum systems. You can think of expectation values as the average of all possible outcomes of a measurement, weighted by their respective probabilities. Contents: 00:

From playlist Quantum Mechanics, Quantum Field Theory

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12. Iterated Expectations

MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 View the complete course: http://ocw.mit.edu/6-041F10 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013

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Covariance and the regression line | Regression | Probability and Statistics | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/more-on-regression/v/covariance-and-the-regression-line Covariance, Variance and the Slope of th

From playlist Regression | Probability and Statistics | Khan Academy

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Lecture on statistical expectation, description, properties and examples. Data Analytics and Geostatistics is an undergraduate course that I teach fall and spring semesters at The University of Texas at Austin. We build up fundamental spatial, subsurface, geoscience and engineering modeli

From playlist Data Analytics and Geostatistics

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From playlist Quantum Mechanics Uploads

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6. Discrete Random Variables II

MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 View the complete course: http://ocw.mit.edu/6-041F10 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013

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7. Discrete Random Variables III

MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 View the complete course: http://ocw.mit.edu/6-041F10 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013

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0:55 - Review #1: Frequency tables 1:27 - Review #2: Two-way contingency tables 2:24 - Review #3: Probability distribution plots 3:26 - Review #4: Conditional probabilities 5:14 - Review #5: Independence 6:08 - Lesson 11 learning objectives 6:38 - 1. Construct a chi-square probability dist

From playlist STAT 200 Video Lectures

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Ehrenfest's Theorem | Quantum Mechanics meets Classical Mechanics

In this video, we will investigate the Ehrenfest theorem, named after the Austrian physicist Paul Ehrenfest. It states that the expectation values of physical observables follow classical equations of motion if the potential is given in terms of a polynomial of degree two or less. This mea

From playlist Quantum Mechanics, Quantum Field Theory

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Prob & Stats - Random Variable & Prob Distribution (43 of 53) The Expected Value

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the expected value of a binomial distribution. Next video in series: http://youtu.be/zup2EhXJSsk

From playlist iLecturesOnline: Probability & Stats 2: Random Variable & Probability Distribution

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24. Martingales: Stopping and Converging

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From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011

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