Binomial Distribution EXPLAINED in UNDER 15 MINUTES!
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- Опубликовано: 29 сен 2024
- See all my videos at www.zstatistics...
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.
Finally, a dazzling good soul to explain this in a very smart, concise and quick way. Thank you so much!!
Just like that. I’m now an expert! Why can’t professors teach like that .
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!
A brilliant video teaching an absolute beginner.
Your videos are truly informative.Keep making more videos on statistics.
Very Very simple. Thank you so much for this video.
"Standard deviation of the number of color blind men in the sample"
What does this mean in simple terms?
I think you are doing a very great job, you are completely different than all other people who make educational videos in RUclips. let me thank you for posting videos.
From Afghanistan
Wow..Statistics has never been this simple.Wish all high school teachers taught us the way you did.Loved it.Looking forward for more such videos.
Our highschool teachers suck and they think they are the best :L
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
interesting... high school never taught me this!
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
same goes to me..
Ditto
dude, you nailed it. That pmf, pdf, cdf and this... OMG you just taught me something which 10s of sessions and videos couldn't teach. THANK YOU..I will complete this series and be ready to get a lot of crazy appreciations.
Picking up math after so many years is not easy. Thank you so much for making it doable. These are really helpful.
my guy... my final is tmwr and you saved my diploma
omg i've been struggeling with this because everywehre there is no visual explanations like this, you are a blessing from buddha jesus muhammed krishna abraham universe, god whatever man bless you and dont shut this down
We want more videos from you...please make at least a video on every single distribution
You mean like this... www.zstatistics.com/videos#/distributions
@@zedstatistics You Rock!
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 🙏
Why should different combination matter?? The probability of getting two should be the same regardless of who those two are. Right?
If you don't use combination then you'll get only the probability of a "specific two men" let's say John and Michael which is only 0.08^2*0.92^8=0.003 while in fact you should choose regardless of who is who, by checking all available combinations (10!/2!8!=45) which leads to 45*0.08^2*0.92^8=0.148 which is bigger than 0.003 because you added more possibilities by choosing any 2 men out of the 10 rather than only John and Michael
@@a.mo7a I got it thank you!
This is by far my fav channel on RUclips. I studied Statistics undergrad and this is a huge refresher. I better understand some of the concepts and application!
Thank you!
hye Ash , I have just posted a video on Binomial Distributions as well. I hope it will be helpful.
Hey just to say thank you...I have viewed numerous videos but finally, yours has made the concept crystal clear. Can one make a request?
I love how simplified the explanation is.
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
Well done my MAN, would like to extend my sincere gratitude in a very typical Indian style by falling at your feet if i get a chance.. Thank god and Thank you ! Much love and appreciation.
Im sure he will bless u dear Arjun. Btw, I have just posted a video on Binomial Distributions as well. I hope it will be helpful.
much much better than any gpt. looking forward to seeing more videos
Me trying to find out if dream cheated. Nice vid!
Finally find someone on youtube actually explaining Binomial Distribution♥
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! 😇♥️
You are a hero. My stats professor should watch your videos
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
Is there a video of negative binomial distribution?
God bless you for this one sir.....
It could not have been more simpler than this! You really made such concepts like a piece of cake..
That's what we call "teaching" in true meaning
Thanks a lot for explaining this topic so wonderfully!!!
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
Thank you for being practical and logic with your content. loved it!
hey mate. Awesome work. Thanks heaps for doing this!
Dumb question from me! I understand why the expected value of a binomial distribution is n*p from a my course material. But when you say it's the mean of the distribution, do you mean to take the 11 probabilities and divide it by 11? Because that's equal to 0.09. I'm a bit confused there.
0 0.434388454223632
1 0.377729090629245
2 0.147807035463618
3 0.034274095179969
4 0.005215623179561
5 0.000544238940476
6 0.000039437604382
7 0.000001959632516
8 0.000000063901060
9 0.000000001234803
10 0.000000000010737
Cheers.
Thanks for not using formula, its very bad practice to use formula to solve the problem because it doesnt tell anything about why we are using such formula
oh my god, you saved me!!! i spent hours trying to understand, and finally, i can! thank you!
For part b) I don't understand why it's not just 1 - P(all 10 are colorblind)
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...👍
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!
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!
Thank you very much!
Please keep posting more!
I dont understand 10C2 part where should I refer
It’s Combinations
I watched some lectures given by one of the UC campus professor, I am too confused so I have to quit and find better videos. Then I watch some other videos, until I see this. This is the best explaination !!! It inspires me and drags me out from heavy fogs!!!! What a clear excellent presentation!!! recommand strongly!
@zedstatistics why is it necessary to include the probability of men not having color blindness (i mean (1-p)^n-x).....we are interested only in men with color blindness
Thank you for this great course ! New subscriber :)
Very very very helpful, clear explanation with aided visuals. Thank you so so much !!!
I've come across this gem of a channel and extremely grateful for it. Thanks a lot.
Hi, I loved this video, but could you plz make a video on negative distribution and geometric distribution. :)
Thank you for your video. But I wonder about the formula of E(X) and V(X). How did you have them?
Amazing video
Wait a sec... this is too good to be true, there is no way this is that simple.when My teacher explained it, it sounded like she was constructing Elon musks rocket
So for C. There is an 85 percent chance that you wont find a color blind person in those 10 people?
thank u so much. it helped me understanding biostats even without math stuff simply by intuition,
This explanation is incredibly easy to understand...Wow
Excellent. This was my first video from this channel and I'm subscribing!
Why couldn't my professor explain like this. Thanks!!
would the complement event of all men being color blind give us the probability that none of the men are color blind?
2:07 make sense when you explain like this :x
Thank you
hye Douaa, I have just posted a video on Binomial Distributions as well. I hope it will be helpful.
my teacher too needs to see this.
Once again, you have produced a gem. Many thanks to you sir !!!
Very educative video. Thank you
Appreciated man, thanks for explaining it.
part C, where did the 0.378 and 0.434 come from
Ur vedio really helps my self-study.
very nice
Why is it 10 choose 2, when the order of multiplication doesn't make a difference? 2 x 3 x 4 is the same as 2 x 4 x 3. Great video by the way. Short and to the point.
i have a question, for the b question where did you get 0.92
Excellent and unique example. Quite extraordinary.
Very well taught! AMAZING!
Great help. Wish I found your channel earlier.
on part a) how is it 1.07 x 10 to the negative 11th power. I am lost there.
WHHHHHAAAAAATT!!!!??? This is it? Fuck the complicated formula on my textbook that looks the only way.
Bruh! Textbooks should be dead in 2021, IMHO.
If my teacher taught it like this maybe I wouldn't hate stats
So if the question asked what is the probability of getting 4 colorblind men before getting 6 non-colorblind men how would you solve it? In this case, would there only be one combination of ways? What would the formula/ math be to solve?
That's preliminary counting, not stats...
Where does 0.92 came from? I don't get it
Thanks for the explanation and good illustrations. My head was spinning until I got this video. BIG THHHHANKKS!!!
Now I get it. Thanks
a random variable x is binomially distributed with mean 4 and standrad deviation √2.4 what is the probability that more than half trials are successes???i am confuse i find p is 0.44 and q is 1.44 and n is 9.09 but more than half i confuse how to do this?
That was really helpful! Thanks 👏🏽
Good evening sir, this is the nice presentation, easy to remember the concept and the flow of your English words is not too fast so we can understand many concepts from you sir .
Love from India.
If you don't mind ,May i know the Name behind this wonderful voice sir
I watched this video for that cute guy in the thumbnail only to not find his face even for a second in the entire video. -_-''😒😒💔
Thanks a lot very informative for me 😊😊
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?
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.
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!
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!
Tomorrow is my math exam....I hope I am not too late....
1 trial is taking 10 men samples right?
This channel is such a relief
Getting to know the design of the formula makes the formula so much less daunting. THANK YOU!
Awesome video understood Binomial Distribution completely Thanks for the video.
Need to slow down a bit and explain things better
Thank you
By watching your video I finally understand why nCx is in the equations. Thank you Mr. Justin Z.
I finally understood that fucking equation after I watched this video. Thank you!
Why is 0.8 the mean of the distribution
Thank you, Sir. It was really helpful after watching tons of videos.
Great vedio @zedstatistics My question is when you have to add probability and when you have to multiply it ?