Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB)

A brief overview of some common discrete probability distributions (Bernoulli, Binomial, Geometric, Negative Binomial, Hypergeometric, Poisson). I discuss when these distributions arise and the relationships between them. I do not do any calculations in this video, or discuss the probability mass functions or other characteristics of the distributions. This video is simply an overview of the distributions that can either be used as a summary recap, or a quick introduction.

[@ActualDayZGod]

12 years of confusion has been cleared by a 6 minutes video. What have i done in life

[@jbstatistics]

Well, in your defense, this is a very good video :) I'm glad I could be of help!

[@andrewagita901]

@@jbstatistics true

[@freebies__]

😂😂😂 I was also at first on edge to understand However this video has made clear that overwhelming concept

[@anastasiyaivanova6992]

the best 6 minutes in my life honestly, thank you

[@hes....thesmalltownclown4411]

Dude. Literally the best 6 minutes of my life. Thanks, signed a 43 yr old aspiring actuary. About to study for P exam

[@49riffinator]

How did it go? I got into actuarial science a year and a half ago. Currently watching this to brush up concepts for STAM haha

[@SLUGTHUG]

How’s your career sir?

[@AliAlHajji]

I study in Beijing and my whole studying is in Chinese .. I have this subject now and I have been facing a long of difficulties understanding the basics concepts. Until I found this channel and could understand all of those concepts from the roots! thank you brother .. you are a great guy with an amazing skills of teaching :)

[@jbstatistics]

Ali Al-Hajji You are very welcome! I'm very glad that you've found my channel helpful! All the best.

[@SideWaysDani]

@@messididit lol he must've graduated by the time you asked :)

[@M7md92]

It's a rare thing to find a good short lecture video, your videos are to the point and explain all the things needed. Thank you dear sir!

[@sauravlabade1366]

kzbin.info/www/bejne/a5bbmXRqaNF9hpY

[@racheltham8002]

Thank you so much, JB Statistics! As a beginner in Statistics, I learned a lot of the underlying content from your videos and practice examples. Keep up the wonderful work! :)

[@limberjak]

Thank you for revising distributions with ease and grace. The half of semester course in 7 minutes! Best source for revision!

[@CogitoErgoPwn]

I am a graduate student studying molecular genetics. Recently, I've found myself drawn into the world of computational biology and found my statistical knowledge (or lack thereof) was holding me back. I have to say, you videos have been an absolute lifesaver -- after pouring through mathematical texts and ending only in confusion, I' am so happy to find someone with an amazing talent to render statistical concepts clearly and in plain English. So, thank you, thank you, thank you!

[@jbstatistics]

You are very welcome. I'm very glad you find my videos helpful. All the best in your studies, and thank you very much for the compliment!

[@dianarodriguez6112]

Thank you very much for this perfectly explained videos!! Not often do i find someone who has the ability of teaching so clearly... Excellent professor

[@jbstatistics]

You are very welcome Diana, and thank you very much for the kind words!

[@pranavpandey2965]

Of all the online courses from those big universities and videos out there, yours is THE BEST !!. Learned the gist of probability through your videos.

[@yamenshaheen]

Thank you professor! I think your students are truly lucky to have you.

[@jbstatistics]

+Yamen Shahin Thanks! I very much appreciate the compliment!

[@yagmurunal99]

it has been almost 5 years since you've uploaded this video and its still being so helpful for my finals... you can imagine what an amazig job you're doing. liking and supporting. wishing all the best.

[@jbstatistics]

Thanks for the kind words! I'm glad to be of help. Five years on, this one is still one of my favourites.

[@kadirnp]

the greatest video i have ever seen about distrubutions.

[@Micomicooo-eo5ee]

This is my favorite video on KZbin so much clear and intuitive. Thank you JB statistics

[@jbstatistics]

Thanks! This one has always been a favourite of mine as well.

[@itay5180]

can you do more videos? i don't really care on what subject, just explain stuff. you're doing an amazing job.

[@jbstatistics]

Of all the compliments I've gotten on my videos, I think this may be my favourite. Thanks! I'll manufacture some time for video production in the near future.

[@petrming9055]

I am writing my thesis on quantitative linguistics topic which deals with a lot of statistics. Your videos have been an immense help!

[@jbstatistics]

I'm glad to be of help!

[@michelleIX]

This is one of the clear,concise, and timely good teaching videos. Bravo

[@toomuchcandor3293]

exactly what i wanted to know: the relationships between all of them and practical uses thank you so much saved me lot of time

[@jbstatistics]

You're welcome! This one is one of my personal faves.

[@ramyabdallah7099]

you are epic...i teach the same course at my university ...you made it much more easier for me to deliver the information..thanks a lot

[@jbstatistics]

+Ramy Fakhry You are very welcome! I'm very glad I can be of help to students and other instructors. All the best.

[@mehmetyerlikaya176]

thanks man! I will have an exam on statistics about 4 hours later. I have just found your channel and I deeply understood what they are coming from. It made me satisfied. I hope I'll get a good result thanks to you.

[@mazouakh]

just finished watching the full series. it was really a blast, learned a lot. i can't thank you enough. hope to see more quality content from you like this. wish you the best of luck.

[@123doraemon3]

Just pls make more videos on anything, if u keep on posting , we are here ready to learn from u. May god bless u .I proudly say that I am totally dependent on u without ego.You deserve more love sir

[@Iam0ne1]

You're a legend. Thank you for helping millions of students around the world

[@jbstatistics]

You are very welcome. Compliments like yours make my day -- I love the thought that I can provide a little help to students around the world.

[@benjamingilbert4042]

I was floored to watch your videos and find out how easy the concepts I had been struggling with actually are. I wish I could take the $30 I spent on my shitty textbook and give it to you instead.

[@jbstatistics]

I'm glad to be of help!

[@RettMcNair]

Amazing job! You teach probability better than our teacher...many of us in the class use your videos to learn these concepts!

[@jbstatistics]

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

[@johneniola2446]

Exactly!

[@shivamupadhyay6325]

A video you uploaded 8 years ago might help a doctoral candidate determine the type of distribution in his upcoming exam! Much thanks :D

[@jbstatistics]

I built this one to stand the test of time! I'm glad I could be of help!

[@shivamupadhyay6325]

Thank you for replying! I know I am just reaching now but if you could answer just one question: Am I right in assuming Binomial will NEVER HAVE dependent trials and Hypergeometric will NEVER HAVE independent ones? Distinguishing between hypergeometric gives the most trouble and this is the only concrete distinguishing factor I could think of

[@Yuvrai96]

​@@shivamupadhyay6325since we make selections without replacement in hypergeometric distribution, they'll necessarily be dependent.

[@devanandae2451]

I was so hurry to write a comment for it bt what i wanted to say was already said by many... Anyways this video has made me how to ans each question from these parts Thanku thanks alot. 💞. I nvr thought I could find this video bt its was made 8 yrs ago.... Its really satisfying ❤❤❤❤. LOVE FROM INDIA❤

[@charlesbrunelle]

Your videos saved my semester countless amount of times. Thank you so much!

[@lightyagami6345]

explained my whole semester module in just 6 mins........great job sir....

[@dormwasvn]

the man, the myth, the legend - jbstatistics! - love from Hong Kong!

[@chloekimball536]

Thank you, thank you, thank you. If I get an A/A- on my exam, it will be all because of you.

[@jercarazvanadrian2208]

Feels so good to have the confusion gone... Thank you!

[@Jacquelinekarlsson_]

Best video ever seen!!! Been taking a statistics course for months now, not understanding much. This really put the pieces into place. :D

[@offchan]

Ultimately, I've finished watching your video series both discrete and continuous random variables. But I didn't watch the multinomial distribution ( the previous video of this series). Your videos are pretty informative for people that can understand quickly (including me lol) and these videos don't consume much time because they are quite short. But for the people who don't know much about math, I think they will be struggled a little. They are advanced concepts, I know it's hard to teach without confusion. I like that there are captions for all videos and the text on the screen for non-native English speakers like me. Thanks for this series anyway. It's a great watch for my exam!

[@usamazafar337]

such a good video covering up all the distributions

[@GSmaniamsmart]

Excellent videos, you've really helped me understand the difference between all the distributions for random variables, better than my book and teacher. Thank you for your hard work, much appreciated.

[@jbstatistics]

You are very welcome!

[@rahee9482]

I've been studying for my Exam P, and you are a life saver. THANK YOU

[@jbstatistics]

You are very welcome!

[@CluckYou21]

You earned that subscribe, like, and comment. Perfect explanation, perfect voice clarity, 10/10.

[@mohammadtorikh]

Thank you so much. I am having hard time remember and understand this for my upcoming exam. For my future self: Let me know if it was worth it or not! but for sometime i hope this video helps!

[@Scrapmetalhusband]

This video was so fantastic. So concise and clearly explained. Much appreciated.

[@jbstatistics]

Thanks Alex!

[@IeEag]

Subscribed, Favorite, Liked. Amazing series and fantastic summary. You saved me so much time, effort and stress. Thank you very much.

[@jbstatistics]

+IeEag You are very welcome, and thanks so much for the kind words!

[@MohamedAmineDarji]

Bro, you are seriously a life saver, thank you so much

[@jbstatistics]

Glad to be of help!

[@RakeshSingh-ek1hr]

Thanks a lot sir, finally my doubts are cleared. Hope u will provide the quality lecture on other distributions.

[@healthtipsfromtekalign]

thank for your great lecture!!! and please for Poisson and binomial distribution example add by using at least, less than or equal any number and greater than or equal any numbers used and please doing this question? A researcher looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel-Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Using a retrospective consecutive case series review, the researchers found that the number of RCH tumor incidents followed a Poisson distribution with λ = 3 tumors per eye for patients with VHL. Using this model, find the probability that in a randomly selected patient with VHL: a. There are exactly four occurrences of tumors per eye. b. There are more than four occurrences of tumors per eye. c. There are fewer than four occurrences of tumors per eye. d. There are between four and six occurrences of tumors per eye, inclusive In a survey of nursing students pursuing a master’s degree, 84 percent stated that they expect to be promoted to a higher position within one month after receiving the degree. If this percentage holds for the entire population, find, for a sample of 20, the probability that the number expecting a promotion within a month after receiving their degree is: a. Five b. At least six c. No more than four d. between five and eight, inclusive

[@muhammadkhan-lb8rx]

You video cleared my Problem in understanding the differences in these all different type of distributions..thank you very much

[@GibranMakyanie]

I rarely comment on youtube, but WOW, clearly explained!!!!! Thanks a lot

[@triparnadasgupta5876]

Really really thanks for such amazing concept clearing sessions, I think I will nail my exam, which before this I was even doubtful of passing...

[@chrissalony2440]

Huge help! Big thank you as I am studying for my first Actuarial exam. 1P Probability!!

[@jbstatistics]

I'm glad to be of help! Best of luck on the exam!

[@omkarphansopkar1148]

9 years old, still the best 💪

[@georgemendez6760]

this is worth more than gold

[@charukrit3347]

Liked your video a lot. It will be really nice if you connect Negative Hypergeometric with these distributions also. I really intend to know about how that particular distribution connects with negative binomial and Poisson.

[@marcoventura9451]

Amazing recap.

[@rishabhnarula1999]

thank you sir, really helpful videos and great teaching.

[@alisiaw7180]

Thanks so much for your clear explanation.

[@emirhan2884]

Appreciate the effort. It has been so useful. Thanks from Istanbul Technical University.

[@jbstatistics]

I'm glad to be of help!

[@sauravlabade1366]

kzbin.info/www/bejne/a5bbmXRqaNF9hpY

[@srinishas1078]

you have a amazing teaching skills sir

[@farrukhahmed9029]

thanks man u and 3blue1brown just cleared my basic primality concepts

[@samyuktav6046]

ABSOLUTELY LOVE THIS VIDEO! THANK YOU SO SO MUCH!

[@rugbywowsorted]

Awesome video, I ever did stats at A-level so this is a great help for my Maths degree

[@sauravlabade1366]

kzbin.info/www/bejne/a5bbmXRqaNF9hpY

[@Abeerr97]

This was so helpful to me!!!!! thank you so much!

[@jbstatistics]

You are very welcome!

[@sinesh_gimshan]

Thank you sir...This video really helped me

[@hussienadel3269]

you really helped me understanding this course , thank you

[@jbstatistics]

You are very welcome!

[@Songvbm]

Hi @jbstatistics would you kindly like to make video on how logarithmic distribution, power-series distribution, pascal distribution, negative hypergeometric distributions are related to these explained discrete distributions (i.e. discrete probability distributions explained in this video)?

[@dan0_0nad76]

Does anybody know if the geometric distribution is a particular case of the negative binomial?

[@harshagarwal4866]

Thanks a lot for the video... it cleared all my doubts.. :)

[@iris.y8762]

very useful!! Million thanks.

[@ygbr2997]

this saves my life

[@Atanu]

@jbstatistics Excellent work, sir, excellent. Thank you for that brief but clear exposition.

[@jbstatistics]

You are very welcome! This one's always been one of my faves.

[@Atanu]

@@jbstatistics I also watched the video on Poisson distribution. I have never seen a more cogent explanation ever. (I have had several statistics and econometrics classes for my PhD in econ.) Kudos.

[@jbstatistics]

@@Atanu Thanks again for the kind words!

[@liquidjorge]

A question out of curiosity: why are they called like that? The binomial I know it's because the "bi" corresponds to having two possibilities (pass/fail, yes/no, 0/1, etc) but the word binomial reminds me more of a math expression and actually the word "binary" makes more sense to me personally. Why the word geometric in the second one? What does the word "negative" correspond to for the negative binomial? I know, this won't come on a test but I can't seem to find a relation yet of the words used to name them.

[@JordanPurcell92]

I am finishing the analysis of an experiment that I have conducted, and your discussions have basically finished the conceptual legwork. Thank you so much! Forgive me, I haven't checked yet, but do you have any videos on Bayesian statistics? If not, I would love to see one by you.

[@jbstatistics]

I'm glad to be of help. I don't currently have any videos on Bayesian statistics. Perhaps I'll get to that in the future, but it's unlikely to be in the near future. All the best.

[@skipperkongen]

Great videos (all of them), but wouldn't the number of car crashes (modelled with Poisson distribution in this video) have some dependency, since two (or more) cars might have crashed into each other?

[@drummatick]

Could you make a collection of the videos only related to the mathematical part and properties of the Poisson process like this collection? Could you also make some tutorials on the properties of Poisson process like P(X(t+Δt)>1 conditional X(t)=0)=1 Where P is the probability measure of an event and X is a random variable of occurrence of an event at a time t . Moreover your tutorials are the best!!

[@mrnick010101]

Can anyone explain how binomial can approximate hypergeometric for small fraction of the population? Shouldn't it be a huge fraction?

[@saadafshar]

u r amazing. i hate stats and this actually makes sense for the first time. from University of Waterloo

[@jbstatistics]

Thanks for the compliment! I'm happy to help out.

[@Muhammad_Ali_academy]

Excellent 👍

[@moazrabea1777]

you are realy fantastic and thank you very very much , you are more than a prof

[@jbstatistics]

You are very welcome. And thank you very much!

[@emiliofernandezlavado279]

Wow, amazingly well explained

[@jbstatistics]

Thanks!

[@elinbaghoomian2887]

THIS IS SO HELPFUL!! THANK YOU!

[@pavlos.konstantinidis]

thank you! very well explained!

[@meghnamahato6858]

Please make a video on relationship between binomial and bernoulli distribution without mgf technique

[@messididit]

Thank you so much sir!

[@shyamsrinivas6620]

Thanks a lot! (from Bengaluru, India)

[@jbstatistics]

You are very welcome!

[@AtulKakrana]

Simply Amazing !!!

[@jbstatistics]

Thanks!

[@LeinysandMassey4life]

nice review before exam

[@jbstatistics]

+Max Shakal I'm glad to be of help!

[@yuweiwang2750]

One thanks from University of Toronto

[@jbstatistics]

You are very welcome!

[@sasvalue]

+Yuwei Wang wow you tooooo, university of toronto? day time or evening class?

[@sasvalue]

+Yuwei Wang This is too hard for student, I believe ..?

[@fernank017]

lmao let me guess, STA 220?

[@gimitabiadon3398]

your a life saver, thank you

[@jbstatistics]

You are very welcome.

[@pnewghirl]

❤, so great job

[@ablashuhaib9640]

Sir , what about uniform discrete distribution.

[@tnoor2859]

THANK YOU SO MUCH FOR THIS!

[@jbstatistics]

+T Noor You are very welcome!

[@patrickyokam4822]

This is very nice

[@jbstatistics]

+Patrick Yokam Thanks!

[@user-vr7rq8vm6w]

Thank you !

[@proexcel123]

Can you do a similar one for continuous probability distributions?

[@RashedulIslamRony]

Great videos.

[@jbstatistics]

Thanks!

[@81Point2]

You saved my life

[@jbstatistics]

I'm glad to be of help!

[@73charbel]

Thanks from the American University of Beirut :)

[@jbstatistics]

You are very welcome! It's always a thrill for me to help people around the world!

[@MH-zv2tc]

Jb stats is🔥🔥✨✨✨🤩

[@venkateshmattur9593]

Make one video about conditional distribution

[@hasnainulabidin6980]

Great video

[@jbstatistics]

Thanks!

[@gbmatteazzi]

THANKS!!

[@syedahmedali7417]

very well done...

[@jbstatistics]

Thanks!

[@syedahmedali7417]

you are most welcome your lessons are very helpful...