# Expected value of binomial distribution | Probability and Statistics | Khan Academy

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**Video Rating: / 5**

too complicated

"My iPod wants to sync" Hilarious.

Hey Sal, thank you for your great efforts! I am sure you won't check it on your own, but in 13:13 It should be Sum from a=0 to b+1. Bcoz n-1=b so n=b+!

after the change of indexes to a , b , it remains to show that the summation (15:00) = 1. this is easy to see by noting that this summation is the binomial expansion of (p + (1-p))^b ; ie 1^b

12: 32 – n-k should be b-a and not a-b

hey anyone wanna explain to me how i would put this equation into a calculator i know how to format it but i dont know how to solve. the thing that makes the least sense is the (n choose k)

This is an awesome video! Dear video maker, you are a very talented teacher! 🙂

Marvellous "Proof".

Hey Guys, help me out here! If you ask me the probability of making one shot, for me I would say p=30%.

While saying this, I am actually providing an estimate that I'll be able to make 3 out of 10 shots for sure (means, P(X=3) given n=10 is 100%)

But then using same numbers n=10 and p=3 I calculate the binomial probability of making 3 shots out of 10 and it is 26.68%!

a wonderful proof!

why 1?

I couldn't understand

can anyone explain why p^k= p(p^k-1)?

A great work which really helps me to solve my assignment about random walk.

Got a much clear picture of the mathematical formula from this video.

his handwriting thou…

Great job, well done…

Holy shieeet thank you Khan! You're a fookin genius, thank youu =)

Thank you man, you're a fucking genious

"im talking about basketball not basket weaving.." LOL. And here I thought you were talking about probability of weaving a basket after doing shots 😛