Binomial Distribution EXPLAINED in UNDER 15 MINUTES!

See all my videos at www.zstatistics.com/videos/
0:15 Introduction
1:30 Pre-requisites/assumptions
2:36 Calculating by hand
8:56 Calculating using Excel
12:05 Expected value and standard deviation
EXAMPLE USED:
Studies show colour blindness affects about 8% of men.
A random sample of 10 men is taken.
Find the probability that:
(a) All 10 men are colour blind
(b) No men are colour blind
(c) Exactly 2 men are colour blind
(d) At least 2 men are colour blind
(e) The expected number of colour blind men in the sample
(f) The standard deviation of the number of
colour blind men in the sample.

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My high school teacher was good, but by god college professors are the worst. I did this stuff in secondary school and understood it so easily. Now I have to relearn it all as I forgot it and my teacher is so bad he can’t even teach me stuff I basically already know but just forgot

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interesting... high school never taught me this!

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This is by far my fav channel on KZbin. I studied Statistics undergrad and this is a huge refresher. I better understand some of the concepts and application! Thank you!

[@ishamathstea9019]

hye Ash , I have just posted a video on Binomial Distributions as well. I hope it will be helpful.

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Picking up math after so many years is not easy. Thank you so much for making it doable. These are really helpful.

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Just like that. I’m now an expert! Why can’t professors teach like that .

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I cannot emphasize this fact more that how brilliantly you explain each and every concept with such graceful techniques! I have been seeing nearly all of your videos from degrees of freedom to statistics and then probability but every time I switch on a new video and you say "Let's understand that intuitively" 😁, that's where I get amazed by your crystal clear explanation... Thanks for sharing your knowledge with us, hope someday every teacher aspires to be exactly like you...👍

[@xiaya7345]

This is the BEST video ever! 😆 Thank u so much for making this video. U explained the concepts so well. The graphs & pictures with break down of calculations & explanation really helped me understand the concepts. Love ❤️ that Excel feature was also mentioned for easy calculations. Wish I had you for my prof... Thanks again for helping my brain. Please make more stats videos 🙏

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Thank you for being practical and logic with your content. loved it!

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Finally, a dazzling good soul to explain this in a very smart, concise and quick way. Thank you so much!!

[@quirkyquester]

bro, i love your video! it's so easy to understand and i love the fact that you give many examples and show the formula later on! Thank you 1000!

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Damn! Finally got the practicality of binomial distribution. The only channel which provides detailed, intuitive knowledge and doesn't pressurise us to mug up the formulae. A big THANK YOU! 😇♥️

[@sophiemurphy7602]

Thanks so much for your videos!! They're so clearly explained and I love how you explain how the formula works so we actually understand what's going on and are not just applying a formula mindlessly. Thanks so much! :) :)

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I passed the video in between and came here to say thank you, and hats off, the way u presented, please don't stop teaching in youtube

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I love how simplified the explanation is.

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Very very very helpful, clear explanation with aided visuals. Thank you so so much !!!

[@idiboss6782]

thank you so much, I had no idea what my professor was talking about, this makes so much more sense then the coin toss example, now I can look at the data that he gives me and understand what is being asked of me

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Keep uploading videos like this man, theyre amazing a very very helpful.

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Finally find someone on youtube actually explaining Binomial Distribution♥

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Once again, you have produced a gem. Many thanks to you sir !!!

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Thank you very much! Please keep posting more!

[@arminsmajlagic2907]

No confusion, straight and very understandable... thanks man !

[@manishsakariya4595]

I went to 10 different video and each one was just coining the formula. i have a less memorising power so was trying to find the explanation so that it becomes intuitive. thanks

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same goes to me..

[@stacyr4768]

Ditto

[@kiber6672]

your so good at making statistics so easy, i thought i will never understand anything!! thank you very much. maybe i can be a good teacher like you

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awesome vid. you make it sound really simple and intuitive, it is a perfect introduction.

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Your videos are the best Statistical videos I had ever seen. The way you put math into visualization is just amazing. Students these days don't actually visualize math

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oh my god, you saved me!!! i spent hours trying to understand, and finally, i can! thank you!

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I basically never comment on videos but I just have to say thanks, I was having a lot of trouble with this topic in my stats class and this cleared it up really quickly. Thank you!

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[@whetstoneguy6717]

By watching your video I finally understand why nCx is in the equations. Thank you Mr. Justin Z.

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Thanks very much, simple, clear and at the same time informative narrative!

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I have seen many videos for Binom dist ...so far this is the best one which explained the concept in a very simple manner. Good job !!

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[@shrikantsubramaniam1608]

Loved how the formula and concept have been explained 😊

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thank you so much for this!!! so helpful and well explained :)

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Great explanation, the examples are really helpful!!

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your explanations are frighteningly clear. how in the world?!?!

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Thank you! This helped me understand the formula better!

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Thank you, Sir. It was really helpful after watching tons of videos.

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Wonderful video, as always. Thank you very much for your time

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Amazingly explained! Thank you!

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We want more videos from you...please make at least a video on every single distribution

[@zedstatistics]

You mean like this... www.zstatistics.com/videos#/distributions

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[@KatWilson-cl9lh]

A big thanks for explaining this to me and also how to check you have the correct answer in excel. As a mature student studying for my civil engineering qualification this is very much appreciated!

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You are simply incredible! As you pointed out that you focus on intuitive understanding rather than eerie-looking formula of statistics, you are amazingly true to your words! Those formula simply freak me out! As Einstein said, if you cannot explain something simply, you do not understand well enough. You do understand it in every sense of the term. May Allah bless you, sir!

[@yanwang2427]

Ur vedio really helps my self-study.

[@balamuralikannaiyan6164]

Thanks a ton for this video. It was very helpful.. I intuitively understand why np is mean, but somehow not able to intuitively understand why np(1-p ) is variance and I can't even understand what standard deviation is in the binomial distribution context. If someone could pls explain that would be of immense help.

[@polycarpnalela6951]

Thanks for the explanation and good illustrations. My head was spinning until I got this video. BIG THHHHANKKS!!!

[@dindor138]

Getting to know the design of the formula makes the formula so much less daunting. THANK YOU!

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Very educative video. Thank you

[@lakhansinghsajwan]

Awesome video understood Binomial Distribution completely Thanks for the video.

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You are a hero. My stats professor should watch your videos

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Thank you for your succinct explanation! 谢谢！

[@JeetSingh-kp5xq]

Hello, thanks for explaining this. I have read a question in textbook below ,under binomial distribution. Can you please help me how can this be solved ? Two groups of twelve statisticians are taught two different methods of Statistics. (Assume that a statistician in group one is matched in terms of their Statistics ability with a statistician in group 2 before the start of the study).What is the probability that at least 9 statisticians from one of the groups will obtain higher scores than every other statistician of the other group? What are the assumptions made?

[@rrr1111ppp]

Well explained. Thankyou so much

[@redforce9005]

Could you please explain how you got the Variance formula np(1-p) ?

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Great and simple explanation

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Please post about moment generating function and probability generating function

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[@raginibhayana8305]

Is the formula for mean and standard deviation valid for other cases of probability as well

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Thanks man. This vid helps me a ton!!

[@shivanshsharma1025]

Hi, I loved this video, but could you plz make a video on negative distribution and geometric distribution. :)

[@vish1628]

Thank you for the easy explanation

[@user-nu5bt1vm1t]

This guy is a genius teacher he is explaining the concepts beautifully

[@paperinashes]

In the last question on standard deviation, how does this formula come about? np is the mean of the distribution and standard deviation is basically the average distance of each outcome from the mean value. I'm having trouble wrapping my head around this, would appreciate the help!