Expectation of a Random Variable Equation Explained

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Gives an intuitive explanation of the equation for the Expectation of a Random Variable, and explains how it relates to the Average Value.
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best video ive seen on why expectation is the integration of xf(x)dx

googlesong
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I would be thankful if you give numerical example for how to relate the expecting with the average

ahmedelgarayhi
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Sir, regarding the swimming incident, why do we take the time gaps instead of the time taken by a participant and define as average when the sum of gaps is divided by total time.

neetapriyangika
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Please what about the others measures of central tendency

AlexandraPinky
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Very Nicely Explained. Thank You, Sir

sanjaybanerjee