Articles containing proofs | Theory of probability distributions
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 Example and Intuitive Explanation
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From playlist Statistics
This video introduces and provides 2 examples of expected value. http://mathispower4u.com
From playlist Probability
A quick introduction to expected value formulas.
From playlist Basic Statistics (Descriptive Statistics)
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
How to find expected value by hand and in Excel using SUMPRODUCT.
From playlist Basic Statistics (Descriptive Statistics)
Expected Value of the Bernoulli Distribution | Probability Theory
How do we derive the mean or expected value of a Bernoulli random variable? We'll be going over that in today's probability theory lesson! Remember a Bernoulli random variable is a random variable that is equal to 1 (success) with probability p and equal to 0 (failure) with probability 1-
From playlist Probability Theory
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
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
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
04b Data Analytics Reboot: Statistical Expectation
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
Quantum Physics Becomes Intuitive with this Theorem | Ehrenfest's Theorem EXPLAINED
The first 1000 people who click the link will get 2 free months of Skillshare Premium: https://skl.sh/parthg0820 This theorem helps us understand quantum mechanics in an intuitive way, and even to visualise it like we can visualise classical physics! Hey everyone! I'm back with Part 2 of
From playlist Quantum Physics by Parth G
Generalized Uncertainty Principle
We do a simple derivation of the Generalized Uncertainty Principle, and obtain the traditional Heisenberg position-momentum uncertainty principle as a special case.
From playlist Quantum Mechanics Uploads
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
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
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
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
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
24. Martingales: Stopping and Converging
MIT 6.262 Discrete Stochastic Processes, Spring 2011 View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011