31:31 This is the proof of the normal approximation of the binomial distribution when n becomes very large with mean ‘np’ and standard deviation sqrt{npq}. I actually discovered this on my own without even knowing this was a theorem. It just follows naturally from the behavior of the binomial distribution.
Fantastically clear and helpful (and what beautiful chalk-writing !)
Proof of the normal distribution formula. Nice!
31:31 This is the proof of the normal approximation of the binomial distribution when n becomes very large with mean ‘np’ and standard deviation sqrt{npq}. I actually discovered this on my own without even knowing this was a theorem. It just follows naturally from the behavior of the binomial distribution.
❤️❤️