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]

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!)

[sunxiyana]

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

[emittyarts]

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

[danishmehboob]

I recommend this video to my classmates.
Very helpful Sir

[antoniobanderas]

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

[sally]

That actually helped a lot, thank you so much!

[torinrhodge]

very helpful and clear explanation. thank you.

[oloruntobilobakolawole]

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

[coronapocalypsenow]

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