An Introduction to the Hypergeometric Distribution

[@tayloresch1909]

These videos are so well done, they're still saving lives 11 years later

[@jbstatistics]

They're timeless :)

[@gugugagacoco]

@@jbstatistics RAHHHH CARTI REFF FWAEH🗣🗣🔥🔥🔥🔥

[@aymenechchalim4654]

Huge admiration for your work, it's nice to realize that something you did 9 years ago is still remarkably useful to many of us, thank you

[@jbstatistics]

Thanks for the kind words! I tried to build them to stand the test of time :)

[@lazy_hiker_guy]

You are better at explaining the basic concepts of statistics than my college professors. You have become my shifu!

[@jbstatistics]

I'm always happy to be somebody's shifu!

[@lazy_hiker_guy]

Could you please upload video on Gamma Distribution?

[@pesa2164]

I had to Google shifuh…

[@phenomenal821]

@@pesa2164 🤣

[@bruhidk2817]

Ikr watching this bc my high school teacher like explains it once than just uses homework

[@PaballoLipopo]

My 2 weeks struggle solved in under just 20 min. Your videos to date are still very much helpful.

[@danielrojas4843]

your voice is so peaceful I dont know if Im studying or hearing music. Great videos man

[@kniix]

I absolutely love that you compare each dist type to Binomial, so that we can understand WHY they are different. Well done!

[@irshadow1777]

Holy, I just realized how simple and easy to analyze it with your way of teaching, thank you my guy

[@sknight7511]

who knew a video from years ago would help me so much with my uni, hope you're still teaching because omg your explanation is so good.

[@yaribsuarez8725]

You're a gifted profesor, I really enjoy and understand!! 👍

[@jbstatistics]

+Yarib Suárez Thanks for the compliment! I'm glad to be of help.

[@narasimhann2814]

Dude!! You're series is literally Gold. Precise explanation, with examples and tiny bit of humor . Hats of to you!!! I've learnt more now than during my college. Thank you :)

[@orlandowan5847]

One of the better instructional videos on this topic here on KZbin. You also explain similarity and trade-off with the binomial distribution as well as cater for scenarios where there are more than two possible outcomes. Thanks.

[@jbstatistics]

You are very welcome.

[@abhinavbichal8798]

You are the best statistics teacher I have ever found!

[@benjaminli3808]

I literally had a list of distributions i needed to review, and you just lined up all the videos, XD, amazing.

[@goksenumutguler2179]

Very clear and simplified version of everything teachers generally tend to tell complex as hell, you sir is a legend.

[@jbstatistics]

Thanks! I'm glad to be of help

[@sunghyunpark2055]

Wow, This is really good. I am currently preparing for the preliminary exam for actuarial science, and your lecture is so clear and super-helpful.

[@jbstatistics]

+Sung Hyun Park Thanks!

[@Cleisthenes2]

Huh. So why is it 'hyper-geometric'?

[@jbstatistics]

Thanks! I hope you find many more of videos helpful. Cheers.

[@instant_mint]

These videos are helping me so much! I feel like I'm about to give up this course but then I come home and watch another video from this series, and suddenly things make sense. Thanks for making great videos

[@jbstatistics]

Thanks for the kind words! I'm glad I could be of help.

[@bokangfalatsi3736]

Okay Professor, you are guilty of being the best Mathematical Statistics Prof.

[@jbstatistics]

Thanks!

[@nishadr.7637]

this is basically 5 hours of lectures summed up in 15 min

[@TheOfficialYossi]

Man I LOVE YOU!! I have an exam in the morning and this is so useful!! I have an exam in all the distributions, wish me luck! haha

[@jbstatistics]

Good luck Yossi!

[@jbstatistics]

Thanks Mohamed. I appreciate the compliment! I'm glad you like my videos, and I'll definitely be adding more soon.

[@krishnabharadwaj4715]

You are the king of all teachers.

[@jbstatistics]

Thanks! I'm glad you find them useful.

[@rishabhnarula1999]

thank you sir, i have become a great admirer of your works now, and they are really useful. 😊👍

[@jbstatistics]

You are very welcome. I'm glad to be of help!

[@ozchelseagirl]

I am watching all your videos and I second, these are all relevant, clearly explained, brilliant videos. Thank you so much for your brilliant work!

[@TravellingDon]

Amazing video makes the concept so much easier to understand.

[@philandthai]

I am sure that it is a significant effort to create these videos, which are so smooth, so clear and so polished. I always think that statistics in an intrinsically difficult area of mathematics.While I am an advocate of book learning, your videos are a great supplement and I really appreciate your contribution.

[@jbstatistics]

Thanks so much for the very kind words. I'm very glad I could be of help. These videos do take some time (sometimes *a lot* of time), but I hope they provide value that far outweighs my effort. Thanks again.

[@gabriel-braga-uc]

Your videos are serving as amazing insights and have been helping me a lot throughout my graduation. Thank you so much for this peak content!

[@asanyal296]

Crystal clear explanation. Very helpful. I detect a slight Canadian accent which I have come to associate with the best math and stats videos on KZbin. Thanks prof wherever you are.

[@philandthai]

Canadian accent? I thought we Canadians didn’t have accents. Isn’t it everyone else who does?

[@asanyal296]

Phil Bakes - that is correct. However, we who live South of the border - and also have no accent, of course - notice a few deviations around our means :)

[@faracanthaceae4946]

the boss example hilarious :D :D :D

[@Mariam-so3nb]

I wish I found your videos a little bit earlier! Watching your videos give some sense of hope for my exam tomorrow. Thank you! :-)

[@aakarshitsrivastava6888]

All doubts cleared by seeing your lecture thanks a lot

[@umeshtiwari9249]

Hats off to you Sir, the way you explain really fits into the mind. Thanks

[@LoayAkmal]

Alright, you've just saved my grades and more importantly, taught me statistics. Thank you!

[@jbstatistics]

I'm glad to be of help!

[@fahada1921]

Wow thank you. i love people who share their knowledge and make it easier for others.

[@jbstatistics]

You are very welcome. I'm glad I could help!

[@asababenard2045]

U are just the best; May God just bless you

[@halajbail7007]

The BOSS of statistics!!!

[@jbstatistics]

Hi inmwt. I'm glad my video helped!

[@bhanusinghal1918]

Finally I am not bored of studying stats!!!!!

[@jemshussdsbc4775]

You are the best teacher thanks alot

[@jbstatistics]

You are very welcome, and thanks for the compliment!

[@theodoresweger4948]

Thank you for adding the 3rd cmponent was wondering about that. Thanks very much

[@nimas1638]

Stas exam this saturday.... thanks for these videos :)

[@naved591]

Excellent explanation, Now the exam will be good, thanks to you

[@UncleLejin88]

Thank you so much. You explain it so much better than my professor.

[@sthefanyguzman8209]

bro...I think you are good. Glad to find you, thank you for all

[@hanwenguo9371]

Hey 9 years later, I still like your joke

[@jbstatistics]

It's still good :)

[@rehabmohsin2071]

You are an absolute legend!!! Thank you!!

[@jbstatistics]

You are very welcome. A legend in my own mind, at least!

[@DexterPires]

I honestly was really getting frustrated with this whole part of statistics, I would work really hard (Reading, trying examples and exercises) but I just couldn't get it. Your videos just made it so simple and easy, Thank you!!

[@jbstatistics]

You are very welcome Luis! I'm glad to be of help!

[@amitbhatt575]

sr it really helped me a lot, U explained just like sal khan

[@tvvt005]

7:09 but n-(N-a) is just n-(no of failures in the sample+ number of successes outside the sample) right? So why do we consider number of successes outside sample

[@ravitegar6582]

Here i am, 2 hours before exam and just star digging into hypergeometric distribution. Thanks for the video , wish me luck.

[@jbstatistics]

I hope it went well!

[@ViniciusCamatti01]

Very good job! I learned a lot and very rapidly.

[@jeffaggas2205]

This is a great explanation, very clear and really good examples.

[@MileeWilson]

Mathematicians, have a very good sense of humour. He said if you told your boss you sampled the same person more than once, you will be looking for another job in the near future,,, LOL.

[@snoop1029]

At 1:25, you said that selecting any sample of 5 balls is equally likely, but it's seems wrong to me, because selecting 5 yellows is much more likely than selecting 5 reds... what am I missing?

[@theodoresweger4948]

As usual you do a excelent job of explaining this distribution probability is a very popular subject for mr.. Having a lot of trouble with BINGO would like to see examples of this!!!

[@koachonghow2691]

better explanation than my professor

[@narisup272]

Thank you for the explanation. It helps a lot!

[@singleslit2024ICPCgrind]

Great Video~ a guy who is 9 yrs late to watch this video

[@jbstatistics]

It's never too late to watch the good stuff :)

[@dr.mosesmuthinja7838]

This is brilliant, I like it. some text books had made me a stressed man.

[@jbstatistics]

Thanks for the compliment! I'm glad I could be of help!

[@isupportargentina]

I think this needs to be added to your "Discrete distributions" playlist? Thanks for these once again! :)

[@jbstatistics]

Shaun Roberts Thanks Shaun, I didn't notice that it wasn't in that playlist. I've added it.

[@aaaaaawda]

Why are you such a lifesaver?!?!? Whyy tell me!!! Tell it!!!

[@jbstatistics]

I'm just doing my best to help out.

[@mgkillex6636]

THANK YOU for teaching so well

[@noor777300]

thank you so much. Very clear explanation and good comparisons to avoid misunderstanding. Keep it up sir

[@jbstatistics]

You are very welcome! Thanks for the kind words.

[@manellallem3523]

Your videos are saving me thank you so much sir you are amazing!

[@VK-sp4gv]

Very well explained, thanks.

[@suryat1103]

Excellent Explanation. I am a new bie to stats with good Math backgrouund. I was able to grasp the content. Many Many Thanks

[@jbstatistics]

You are very welcome, and thanks for the compliment!

[@dgamma1]

extremely well explained - and professional!!

[@prakharbansal9079]

brilliant explanation....hats off...😊

[@jbstatistics]

Thanks!

[@stellaofthelake3451]

Lol. You sampled 2 ppl 6 times lol. Fired.

[@sandisiwebuthelezi3192]

Good explanation with clear examples...Thank you :)

[@gugugagacoco]

loved it, thankyou so much god bless you homie

[@oprabin]

that "boss example" was savage! XD

[@jbstatistics]

Thanks! I found it amusing :)

[@thepag52]

youre a blessing. thank you so much for what you do. but i wish i had the definition of a hypergeometric distrobution like the others so i can distinguish when to use. i have been writing each definition down.

[@ololademafimidiwo7288]

Thank you so much! This made things so much clearer.

[@jbstatistics]

You are very welcome!

[@someshshahi6014]

This is so helpful, should help me ace my stats exam. Do you have a video on conditional probability ?

[@VR_Wizard]

6:33 Minimum of a and n is the Maximum we can get. That was a bit confusing but I get it now.

[@goodbye_world___long_gone]

Thanks, this have really helped me although i did not understand why in 7:10 "x" has to be less not only then a number of successes but also the size of the data set are`t they codependent, how does the num of successes be greater than size of data set it those successes located into.

[@derskonetyabe]

if your boss asks to you to sample 10 people and you came over with 2 people saying that the first one came out 6 times and the second one came out 4 times, you will probably be looking for a new job in the very near future.

[@moypatel5554]

Thank you for your knowledge sir

[@jbstatistics]

You are very welcome!

[@seanki98]

Professor, the reason why the binomial coefficients are multiplied is because of the "And" rule in probability right? We are making our choices simultaneously

[@davinpaharia6265]

Sir could you please explain in the last example why the case for failure was not taken??

[@royalarindam]

Great video man!

[@quandingleberry445]

binomial and poisson was intuitive but I was having trouble with hypergeometric until this saw this video

[@hassanabdi9280]

I like this explanation . It can help me in my sudies. Best regards

[@jbstatistics]

I'm glad to be of help!

[@mskgt8466]

Thank you very much for such a great explanation. It was like 2+2=4 👍👍 you have clarified my queries :)

[@arnatri1503]

Great explanation. Thank you!

[@UncleLejin88]

I love stat but my professor lecture are dry and not as insightful like yours. you are awesome!!!

[@xyz39r1abc]

Very good explanation :D Thank you

[@lilmonkianime8084]

Hello, sir , very good video, so much helpful, are u sure that u use combination formula with the right calculation at the last exercize ?

[@Syngenetic]

Amazing!! You are such a great teacher. Subscribed! :)

[@harisrg92]

In the last example about different politicians, if the question explicitly mentioned that the choosing was done WITH REPLACEMENT, could we have used binomial formula in some sort of way?

[@jbstatistics]

The last example involves 3 groups, so if the sampling were done with replacement, we would use the multinomial distribution to answer the question. (The multinomial distribution is a straightforward generalization of the binomial distribution.)

[@temrenalican4570]

Wherever I look up the variance formula I'm finding a bunch of Einstein formulas that don't make any sense to me. Can you write a brief summary of variance or give me a link to a source that is easy to understand?

[@coolgreensnake]

love ur videos ,keep up the good work

[@violalagonigro-m4d]

10 yrs later and still going strong

[@Ali124hdkflc]

You're a gem.

[@AloofMusician]

Hi, I'm just a bit confused withh the bit about Max (0, n-(N-a)) Min (a,n) What do you mean by the maximum value x can take on is going to be the minimum of (a,n), and what does it mean that the min value of x can take on is the max of 0, n + a - N? thanks for your help.

[@jeffaggas2205]

The maximum value of successes cannot be greater than 1) a (the number of successes in the population) or 2) n (the number of samples drawn). From the school example, you can't draw 11 girls if you only draw 10 people. The minimum number of successes is MAX( 0, n-(N-a) ). You cannot have less than 0 successes so that is where that comes in. n-(N-a) is a little more intricate. Consider this case: 10 balls (8 red, 2 green) You will draw 5, no replacement. Consider red to be success In this situation, the worst you can possible do is pick 2 green balls. Thus, the minimum number of successes you can have is n-(N-a) or 5 - (10-8) or 3. However, you must keep in mind this depends on what you define as a "success". Consider the same situation except let green equal "success". In that case, the worst you can do is 0 (if you picked all red balls) since n-(N-a) or 5 - (10-2) = -2. Thus the minimum number of successes would be MAX(0,-2). Hope that helped.

[@AloofMusician]

Jeff Aggas Thank you for your detailed and useful reply :)

[@studunders8354]

This video is excellent! Keep up the good work! Oh where are my manners, thank you for doing this, much appreciated!

[@jbstatistics]

You are very welcome Stu!

[@sushmitanigam4979]

thanx a lot. incredible explanation

[@jbstatistics]

You are very welcome!