The Bernoulli Distribution: Deriving the Mean and Variance

I derive the mean and variance of the Bernoulli distribution.

[ashannisonny]

I've been stuck on this for hours and he does it in less than 5 minutes. Thank god for youtube.

[Neojs]

Great explanation JB ! Your lectures are helpful for my actuarial exams.  

[nestam]

this is like my 10th time watching this video. thanks for making short and concise videos I can come back to every time I need to.

[GoodLuckForever-wikb]

Best Of Luck Forever
For Sharing Such a Deep Knowledge in such a simple way.
Well Done Sir

[asterisk]

Thanks i was not expecting much from a yt video but actually amazingly complete and coherent proof. Was easy to follow. Thanks a lot

[egekonuk]

Wow fantastic explanation. I have just discovered your channel and it. is. amazing. you really makes things really understandable. keep doing ...

[alanmintz]

very helpful and concise explanation, great job

[isaacvictor]

Straight to the point and very helpful.... Thank you

[victorsoares]

Great job man!

Awesome explanation, your lectures are very helpful.

[oratilenkhutelang]

simple and to the point, thank you very much

[Adamek]

Thank you for the explanation, it helped me a lot.

[teresiahnjoroge]

Could you please incorporate example like using questions that would be really helpful

[uttamchoudhary]

well explained bro .Please keep posted videos on statistics

[roy]

Thank you for lucid explanation.You have calculated expectation to be same as that of mean.Are expectation and mean same? Can you please elaborate on this ?

[sidsethiofficial]

They study Statistics in Canada? Kidding. Awesome explanation. Thank you so much.

[saschaweyman]

bro im sorry but this makes absolutely 0 sense

[konstantinrebrov]

Where do you need to put the square exponents for calculating the variance of X?
I like to think of it as the inside - outside rule.


You have to "expected value" terms that are subtracted:


E(X) - E(X)
inside - outside
E(X^2) - E(X)^2

[parthi]

Can you please prove with Bernoulli distribution as population, sampling distribution converges to Normal? (Not sum of bernoulli, which is a binomial RV)

[sarabantohura]

please give the proof £f(x;n, p)=1 for binomial distribution

[ghadaragab]

Why the summation have value zero and one