How to Calculate the Mean, or Expected Value, of a Continuous Random Variable

Learn how to calculate the Mean, a.k.a Expected Value, of a continuous random variable. We define the formula as well as see how to use it with a worked example, using a a continuous random variable and its probability density function.
See notes and exercises at the following link:
radfordmathematics.com/probabi...

[@RadfordMathematics]

Sorry for using seconds as a unit!!! Should have used MINUTES 😊. Won’t change anything to the calculations though! Hope it helps!!
(Just imagine I said minutes throughout!)

[@sunxiyana2442]

Most courses dont give you a solved example. The best explanation on youtube. Thanks.

[@RadfordMathematics]

Thanks for taking the time to comment and for your kind words Sun! I really appreciate it 😊
Truly glad it helped !
Take good care 😊

[@emittyarts]

You rock it Sir. Clear explanation and straightforward. You've earned a sub

[@RadfordMathematics]

Thanks for your comment and your sub!!
Really glad this video helped 😊

[@danishmehboob3883]

I recommend this video to my classmates.
Very helpful Sir

[@RadfordMathematics]

Thanks ever so much 😊
I’m truly glad this video helped!!

[@deviant8202]

Well explained

[@sally9193]

That actually helped a lot, thank you so much!

[@RadfordMathematics]

Thanks for your comment Sally 😊
I’m truly glad this video helped!
On thé sale topic you may be interested in my online notes/videos/worked examples on that topic :
www.radfordmathematics.com/probabilities-and-statistics/continuous-probability-distributions/parameters-continuous-random-variables/parameters-continuous-random-variables.html
Take good care ✌️

[@alreadyghosts7727]

THANK YOU !!!!!

[@torinrhodge8190]

very helpful and clear explanation. thank you.

[@RadfordMathematics]

Thanks for taking the time to write your comment Torin, I really appreciate it 😊
Truly glad the video helped!!
Take good care ✌️

[@oloruntobilobakolawole4683]

So insightful and helpful, I just subscribed. What if the pdf is ce^(x) how do I calculate that?

[@user-kb9sn5dk7s]

thanks

[@antoniobanderas5316]

So, for discrete they are not the same thing, but for continuous they are the same thing. Good to know.

[@yibetesfe291]

It is good

[@narendraparmar1631]

Helpful, Thanks

[@RadfordMathematics]

Thanks for the comment!
Truly glad it helped 😊

[@user-oc3bs6zo6i]

cool

[@TrangNguyen-lv3vn]

why it is x^4/4? tks in advance

[@derp3044]

reverse power rule

[@dannysfavs4122]

I got 1

[@coronapocalypsenow3804]

1.5 seconds to reheat a cup of coffee is pretty impressive. You may want to check your figures.

[@w0nnafight]

it heats up faster if it was hot before

[@TonyDaExpert]

Theorists be like