Proof that the Binomial Distribution tends to the Poisson Distribution

A proof that as n tends to infinity and p tends to 0 while np remains constant, the binomial distribution tends to the Poisson distribution.

[khcrafts]

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[NA-gxcr]

I am speechless at how well this is explained.

[baobui]

You are the biggest nerd with the best teaching skill ever!

[seukpyk]

Excellent. Following the complete series of videos. I think you are really generous sharing all of these good material. Thank you from Spain!

[janseyttacheung]

1:56 in the last step it should be 1-(x-1)/n not 1-(x+1)/n. it won't affect the result though

[TrippinCozy]

Been searching for 2hours for this kind of thing !! Thaaank God we have access to information and there are people like you, otherwise, university would have been impossible!

[jbstatistics]

I don't know what you mean. I have a video on approximating binomial probabilities using the Poisson distribution. If that's what you're looking for, it's in my discrete probability distributions playlist. If that's not what you're looking for, you'll have to try to express it in a different way. Cheers.

[MogauTau]

This video changed my life...thanks brother

[allstringsattached]

SUPERB Explanation!!!! I was getting so stuck using Stirling's formula. Your explanation is so crisp and effective. Thanks so much for the efforts.

[mazvta]

The animation is his voice from 5:06 onwards is my drug

[yaweli]

I love how you teach with enthusiasm. Amazing!Thanks.

[yooos]

The Best Explanation.
I love your videos because the book I have has crap.
Thank you so much !

[dmitriidoroftei]

Wow, nice proof. I really liked the way you've explained it :D

[flyingbirds]

Absolutely world-class explanation, I could understand even without the sound of the video.

[hash]

I am just going to say WOW!!!
This was an easy explanation!!!

[anuskasaha]

I usually don't comment but you really made this hard one so simple thank you so much it really cleared all of my doubt

[Botazz]

I have my final tomorrow. You don't know how thankful I am :) Thank you very much sir!

[estefaniakiara-elizabeth]

Wow! Your explanation is REALLY AWESOME! Thank you so much for this wonderful video, it really helped me a lot.

[jozokukavica]

Your tone and enthusiasm takes this proof to a whole another level. It's so good !!!

[nemdenemam]

ok, this series is amazing. I wish I found your channel earlier.