You took 8 minutes to do what my Professor has done in 17 pages of nonsense notes. I would be failing without this haha

I wish my professor in university could teach students like jb does.Understood it in 5 mins.thank you

Thanks for the compliment! I've got lots of good stuff on this channel, and I hope you find it helpful.

I've watched so many videos on expected values and variance and this was the first one I was able to really truly understand. Thank you so much for being so thorough!

first video that actually explains the concepts instead of just applying the formulas, thank you so much

All of these videos are saving my life, you are amazing at what you do JB.

My uni professor made this topic so confusing I got frustrated thinking I'm too dumb. But this vid explained it so well. Thank you Sir.

This is great. All the explanations are concise and I like that you clarify certain things so that you don't fall in to the typical traps. Thanks for the stats video, I can finally understand it :)

My professor explains it just like this, just as fast. This is a great refresher. Thank you for the video.

I am so glad that I found this channel. I have been struggling with my university's probability and statistic course

The way you focus on the important points with your voice is just awesome! Likes! You are the real MVP.

This is AMAZING. In this 8minute of video, I learn more than 2 weeks of material

Best Statistics lecture I've ever heard....this is perfect...thank you sir!!

You are very welcome! I'm very glad you are finding my videos helpful. And thanks for the compliments!

This is honestly better done than Khan Academy. You seem to know what you're going to say rather than winging it like he does in every single video.

This is by far the best explanation I've ever watched!

Here I am as a graphic designer watching a video about expected value yet found it way more entertaining than any business calculus course I took in college. Thank you 😂

The clarity with which you explain things, it's fantastic. Whenever I have a doubt, you clarify it in the very following sentence!

one of the best interpretation of expected value and variance! definitely.

Excellent teaching,every thing is going straight into head,no doubts at all,thank you

Thank you, Thank you, Thank you! for your clarification at the beginning of the video! I spent a day trying to understand the book to then watch this video and understand in 8 minutes!

what took a semester to understand has been accomplished in less than 8 minutes! amazing....

This is a great job. Well explained and cleared all my doubts and confusion.

i have spent tons of time on this topic and this is by far the most helpful one. Thank you so much!

as usual very organized, well explained, and with right speed.

This is so helpful- you are great at explaining things clearly without moving too slowly. Love your videos!!

Thanks! Other than 1 year in Georgia, I've lived in Ontario my whole life, and near Toronto for the last 20 or so. But in the last 6 months or so, 4 people have asked me about my accent in face to face conversations. So people are hearing something, but I don't know what it is. I have a tendency to use secondary pronunciations of words that are a little softer than the primary pronunciation. But maybe it's just the small town Northern Ontario Kenora boy showing through :)

thanks. you've helped me understand points which i couldnt in a 1.5 hour lecture. more can be emphasized on the meaning of the the expected value and how it contrasts with the actual mean.

This video was so simple and so helpful, great job! Much appreciated.

Thanx man... I'm from India... There will be my exams in 3 days and this question here was the only one from whole probability of our syllabus that I wasn't able to understand... Now u explained it in a really beautiful way...

great video! understood the work clearly after watching this video.

Thanks. This is a great video; really compact and well organized.

a BIG thank you to JB everything is so clear it is very helpful

Thank you, it is such a relief to figure this one out. I still have some hair left on my head!!

Thank you. These videos are very well made and easy to follow. I like my prof but he tends to cover proofs and theory a lot and can be rather difficult to follow sometimes, so these are very helpful for clarification.

Very clear. Video and audio quality is good too. Thanks for sharing

You summed up the full chapter in 7 minutes. And understandable way

You're welcome Laura, I'm glad you like them!

Brilliant video. Thank you!

Thanks for actually explaining things. Makes so much more sense now.

Thank you so much for explaining this so well. This was bugging me for a really long time.

Thanks a lot!! You explain it way better than my professor in the university.

Thank you. You saved my life!!!

Cheers mate, I'm cramming for my a-level further maths mock, and this has come in really useful.

You're very welcome! And thank you very much for the compliment!

Thanks a lot! Your words were really precise. That helped a lot!

bless your videos, wow. You're saving me big time.

Thank you! This video help me understand the whole concept of it!

I love you so much. i have been trying to figure out my professors notes and lecture slides for over 2 hours. you are an angel!!!!

This was very helpful. THANK YOU!!!

I keep looking back at these videos, and there is no better channel than this one. One decade later and it's still high quality. Only downside is that stats and probability is such a broad topic and you're only one person, so coving all of it is impossible 😔

You are very welcome bugs! I'm happy to help out.

So much more helpful than our lecturer....thank you

watching this in 2021 before my midterm. thanks jb!

Great review material for the FE Exam, thanks a lot!!

Thank you, this made it easier to understand

You're welcome! I'm glad to be of help!

I just want to say to this guy thank you so much, you really take the time to explain what each little detail means. Ok back to learning.

A brilliant piece of work! Thanks!

This is done really well sir. You explain in not too technical language.

Truly epic video!

Thank you sir you are 100x more helpful than my probability professor

TY JB! Ur straight up saving our grades out here. God bless!

Great videos! so helpful and easily understood

You saved the day! Thanks

Really am very clear with your definition, thanking you sir

Great freaking vid man. Helped out a ton!

Incredibly helpful. Thanks a bunch.

Extremely helpful, thank you!!

Cant thank you enough for posting such amazing videos :). Thank u thank u thank u thank u soooooo much

Great explanation. Thanks

Thanks! I'm glad you liked it.

You're welcome! And thanks for the compliment!

Just want to say thank you. Super easy to understand.

Thanks for these beneficial informations !

My lecturer is useless and it's driving me nuts. I did this stuff when I was 16 and somehow he's managed to make it complicated. Thanks for the refresher. Wish me luck.

Really clear and concise. Thank you!!

Nice and clear! Thank you.

Awesome video, thank you!!

Very helpful these days too.

Its help me a lot. Thank you so much

Thanks for your valuable content.

Brilliantly explained. Thank you.

Thank you so much for making it easier to understand, my teacher uses a lot of terms that I don't even know what's happening lol.

YOUR WAY OF TEACHING IS BEAUTIFUL AND SO CLEAR!. I like how you used p(x), it helped me recognize it's just calculating the probability of x. Do you go over the proof of variance too? I'll probably go look for it.

Thank you for this video...I badly needed this method.... thanks a ton.... God bless you

Once again, thanks JB!!😅

Thank you so much for this video!!

I was stuck on the variance part of the question, and I appreciate your help.

I enrolled to an inference statistics course on Coursera.org and couldn't wrap my head around this module. Thanks for saving me!

great teaching sir, thanks.👍😊

these are amazing :) thank you so much!

Thanks much, very helpful.

Thank you for this video so much easier to understand than the lecture notes :-)

very great explanation!!

Thank you this video helped me a lot

very very helpful thank you!!

Thanks for the clear explanation! :)

I love you! Your videos are phenomenal!

Amazing short video.