Expectation of a Random Variable Equation Explained

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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For a full list of Videos and accompanying Summary Sheets, see the associated website: www.iaincolling...

[@googlesong8679]

best video ive seen on why expectation is the integration of xf(x)dx

[@iain_explains]

That's great to hear. I'm glad you liked it.

[@Aryan-pe2ii]

hey we have the same pen!

[@sanjaybanerjee7055]

Very Nicely Explained. Thank You , Sir

[@iain_explains]

You are most welcome

[@arceus3000]

Not all heroes wears a cape!

[@ahmedelgarayhi4439]

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

[@iain_explains]

Thanks for the suggestion, I'll add it to my "to do" list. In short though, technically the term "average" refers to the "time/sample average of a typical realisation of a random process", whereas the term "expectation" refers to the weighted integral over the probability density function of a random variable. This video may help: "What is a Random Process?" ruclips.net/video/W28-96AhF2s/видео.html

[@MovieTheater69]

Thanks

[@neetapriyangika3549]

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.

[@neetapriyangika3549]

Could you please do some videos regarding two random variables, joint probability function, conditional CDF,PDF and functions of two random variables. You might be busy with your work but if you can look into this even if takes some time, it is greatly appreciated.Thank you

[@iain_explains]

Sorry, I should have been clearer on that. The "total" in the video (in the denominator of "avg") is the total number of samples taken, not the total of all the time differences.

[@iain_explains]

@@neetapriyangika3549 Thanks for the suggestion. I've added these topics to my "to-do" list.

[@AlexandraPinky]

Please what about the others measures of central tendency

[@sarvinasalohidinova4881]

Helped a lot😊

[@iain_explains]

Great to hear.

[@KryDu-lv3jk]

beautiful explanation

[@iain_explains]

Glad you liked it!

[@christinachen9669]

thanks for the video, very helpful

[@iain_explains]

You're welcome!