Binomial Distribution EXPLAINED with Examples

Learn how to solve any Binomial Distribution problem in Statistics! In this tutorial, we first explain the concept behind the Binomial Distribution at a high-level. Then we go over the exact conditions necessary to have a Binomial Distribution through an acronym, BINS. Next we cover some key parameters of this distribution like its Mean, Standard Deviation and Probability Formula. Since the probability formula is a little less intuitive than other formulas, we also take it a step further and explain exactly where it comes from and how it works. Finally we wrap things up with a full example to solidify all ideas explained in the video.
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Пікірлер: 190

  • @priyanshiagarwal5381
    @priyanshiagarwal5381 Жыл бұрын

    love it! thank you! i always find it frustrating when teachers throw weird equations at you and expect to use them without understanding them. you explained them so well that i know feel confident using them as i know what they're for!

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That is literally the best thing I could hear. Thank you so much for saying that. That means a lot! :)

  • @kwihanganaliome8900

    @kwihanganaliome8900

    7 ай бұрын

    I have exam for business Statistics 2 this evening. Was challenged of how to calculate that nCx without calculator.

  • @syedaiqrazehra6040
    @syedaiqrazehra604010 ай бұрын

    This video is 2 years old but still the best to explain binomial then other youtubers

  • @ChatGPTGamingReal
    @ChatGPTGamingReal2 ай бұрын

    you absolutely killed it. i have my ap stat exam in a few days and i feel confident but this concept i was a little shaky on. this made everything - even the formula - crystal clear!

  • @Maipasu73
    @Maipasu736 ай бұрын

    My first video on this channel, oh my oh my, haven't I enjoyed this. Neat workbook and clear explanations. Thank you

  • @jonitaverma8853
    @jonitaverma88532 жыл бұрын

    Your videos are really helpful because it also explains each part of the formula unlike others!

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Thank you so much! I'm glad you think so!

  • @Samr2003
    @Samr20034 ай бұрын

    Thank you for your videos. They are amazing, and they are easy to follow. Not sure how I would have gotten through these past few weeks of biostatistics w/o your assistance.

  • @nmesomiladyobi5825
    @nmesomiladyobi58255 ай бұрын

    Thank you so much for this. Preparing for an exam!!!

  • @bryanbimantaka
    @bryanbimantaka11 ай бұрын

    Hi, I've watched several videos of yours and I find them helpful, and I thank you for that. I just wanted to let you know that your brief explanations by visualizing the concept using drawing and all, are on point since I am a visual learner kinda person. However, I came across some of your videos that happened to have a lower volume than the others, so I hope you wouldn't mind resolving this issue. Again, thank you, you've done a great job! Already subscribed tho! LOL

  • @RudraPatel-ed1bq
    @RudraPatel-ed1bq7 ай бұрын

    The BEST video on KZread for binomial distribution ❤. Thanks a LOT!!!!!

  • @chamodikarunathunge1292
    @chamodikarunathunge129210 ай бұрын

    Simple and clear! Thanks!

  • @couchpotato7672
    @couchpotato767226 күн бұрын

    I wish you guys had videos on the Poisson distribution as well. I absolutely love this video!

  • @salehmustafa8216
    @salehmustafa82169 ай бұрын

    Didn't expect to find a useful video on probability luckily I found yours Thank you 👍🏾👍🏾

  • @cout09
    @cout093 ай бұрын

    Concise and straight to point, thanks for this lecture ❤

  • @aryankohli1968
    @aryankohli19685 ай бұрын

    best stats playlist period

  • @kevinshypegal9004
    @kevinshypegal900411 ай бұрын

    thank you so much this is the most helpful and straight forward video

  • @shadoedoe8083
    @shadoedoe80832 ай бұрын

    this video is so easy to understand !! thank you!!!

  • @mgodusobhekikhaya3302
    @mgodusobhekikhaya33022 жыл бұрын

    Thanks a lot Ace Tutors, your videos are really helpful.

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    We appreciate that so much! Thank you for watching!

  • @johnderrick7311
    @johnderrick73119 ай бұрын

    Amazing! well simplified and explained

  • @sareekajoshi43
    @sareekajoshi432 ай бұрын

    Thank you for such a clear and beautiful explanation!!

  • @lauratamara2131
    @lauratamara2131 Жыл бұрын

    This was so on point thank you🙏

  • @richardwae3874
    @richardwae38742 ай бұрын

    Thank you. You've brushed the thick clouds away.

  • @SHADOWLEGENDDRAWS
    @SHADOWLEGENDDRAWS7 ай бұрын

    Thanks a lot, your videos were very helpful.

  • @christopherberry8519
    @christopherberry85194 ай бұрын

    Concise and to the point.

  • @thesoftwareguy2183
    @thesoftwareguy21832 жыл бұрын

    I have just seen your 2 videos and both explains everything , that's why I subscribe to your channel , Thankyou So much Sir !! Just keep your videos like this.

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    I really appreciate the support! I'm glad we were able to help you out! Thanks again :)

  • @user-er4qb8df8t
    @user-er4qb8df8t8 ай бұрын

    Very nice and simple to understand

  • @gregsonmwavuna2702
    @gregsonmwavuna27025 ай бұрын

    Nice tutorial...clear explanation that's very easy to comprehend...

  • @mushtaqali630
    @mushtaqali6307 ай бұрын

    Excellent explanation.

  • @user-ic8kj3hg2b
    @user-ic8kj3hg2b4 ай бұрын

    Very helpful. Thank you!!

  • @abdo20293
    @abdo202939 күн бұрын

    Very useful and simple explanation. Thank you for your effort.

  • @reubenobu1628
    @reubenobu16286 ай бұрын

    Thanks so much. It's very helpful.

  • @user-ok6lf1yy7u
    @user-ok6lf1yy7u7 ай бұрын

    Thank you your lessons helped me

  • @carolinaraquellagunarangel274
    @carolinaraquellagunarangel2744 ай бұрын

    thank so muuuuch, your videos help me so much!

  • @EdwardLokari
    @EdwardLokari2 ай бұрын

    Thank you, your explanation is crystal clear and very helpful ♥️💯

  • @kashifhussains2951
    @kashifhussains2951 Жыл бұрын

    Such an elegant and clear explanation ❤️ Please also make a video on poisson distribution

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you for your positive feedback, Kashif! That is definitely a topic we plan to cover soon!

  • @Deeeeeee2010

    @Deeeeeee2010

    Жыл бұрын

  • @Deeeeeee2010

    @Deeeeeee2010

    Жыл бұрын

    Poisson and normal distribution

  • @ayasamer205
    @ayasamer2053 ай бұрын

    The must amazing one in KZread who explains this topic clearly Thank u soo much 💙💙💙💙💙💙💙💙💙💙💙💙

  • @godwinclement7520
    @godwinclement75203 ай бұрын

    THANK YOU SO MUCH 😊 THAT WAS HELPFUL!

  • @SS-pn7ss
    @SS-pn7ss Жыл бұрын

    Thank you so much. It's very well explained, please continue to make such helpful content.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You are very welcome! We certainly will!

  • @watchernotacritic8863
    @watchernotacritic88637 ай бұрын

    Jesus, this formula for Binomials is so much easier to comprehend than what my professor taught us! It's the same math, but the notation and format you use makes much more sense. In my class, the formula is "P(x)= nCx π x (1-π) n-x." I never fully understood the variables until your explanation. Thanks!

  • @foodtips8515
    @foodtips8515 Жыл бұрын

    Wow. Quite an explanation. Thank you a lot

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you for watching and supporting us!

  • @MatyskoCZE
    @MatyskoCZE7 ай бұрын

    Hi, thank you very much for this video. Very helpful.

  • @abbysaucedo7871
    @abbysaucedo787110 ай бұрын

    thank you very much for this fantastic video

  • @padminijoshi4004
    @padminijoshi40043 ай бұрын

    Really made the concept easy

  • @hafenihangula2270
    @hafenihangula2270 Жыл бұрын

    Thank you Dr for the lecture, I am superb now. Saying hi from the land of brave -Namibia 🙏.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Hahah far from a doctor, but I appreciate your support so much! :)

  • @benkivben7545
    @benkivben7545 Жыл бұрын

    Thanks teacher for this wonderful video.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You got it! Thanks for watching!

  • @samo6391
    @samo6391 Жыл бұрын

    I don't know just why my professor couldn't just say it this way. I left class thinking it was some rocket science. Thanks

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That is a great compliment! We pride ourselves on being able to explain concepts in this way!

  • @rezoanbinhafizpranto8804
    @rezoanbinhafizpranto8804 Жыл бұрын

    Best and easiest explanation ever!

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thanks so much for your support and kind words! I really appreciate it!

  • @thebigheartedboyy
    @thebigheartedboyy Жыл бұрын

    Brief and precise 😊

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Awesome! That's what we aim for!

  • @ti84satact12
    @ti84satact12 Жыл бұрын

    These videos are done extremely well! What software did you use to create this?

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you so much! We use an open software called Manim. Then we edit in VSDC Video Editor

  • @NA-jq9fp
    @NA-jq9fp10 ай бұрын

    great teacher!

  • @SmallgirlbigGod7
    @SmallgirlbigGod7 Жыл бұрын

    Thank you for this ❤

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You are so welcome!

  • @moseslengai3121
    @moseslengai3121 Жыл бұрын

    Thank you Ace Tutors🚀

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you Moses! :)

  • @suprajamkodanch6928
    @suprajamkodanch6928 Жыл бұрын

    You just saved me from probability trauma 👀❤️!

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That is honestly the best feedback I could receive! That is so great to hear!

  • @laf4891
    @laf4891 Жыл бұрын

    Thank you so much; this has really helped me.

  • @AceTutors1

    @AceTutors1

    4 ай бұрын

    You are very welcome! Thank you for watching!

  • @adamdaouk8673
    @adamdaouk86732 жыл бұрын

    Amazing broo keep going 🔥🔥

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you so much for the support Adam!

  • @samlajeunesse5064
    @samlajeunesse50644 ай бұрын

    thank you great video

  • @kaansenmanat7991
    @kaansenmanat79916 ай бұрын

    You are the best!

  • @drallisimo34
    @drallisimo34 Жыл бұрын

    great tut!!!

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you!

  • @lemon40277
    @lemon40277 Жыл бұрын

    Hello Ace Tutors! Would you be able to make a video explaining the process of Poisson Distribution? This would be really helpful :D

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Yea the Poisson distribution is definitely a topic we plan to cover soon

  • @florentinosanchez3969
    @florentinosanchez39694 ай бұрын

    REALLY NICE VIDEO

  • @_tj_memer7014
    @_tj_memer7014 Жыл бұрын

    My Math sir is too much expert and have experience and have too much knowledge but he do not teach and give all the information in the way that you teach and give knowledge.You give me too much knowledge of this small topic.I can not able to say with words that you teach

  • @Mc-cq1vq
    @Mc-cq1vq2 ай бұрын

    Thanks a lot

  • @al_Miskeen
    @al_Miskeen Жыл бұрын

    Thanks so much

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    No problem at all! I'm glad we were able to help

  • @akshaimadhavan8314
    @akshaimadhavan8314 Жыл бұрын

    Great video sir♥️

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you very much!

  • @sarahh1537
    @sarahh15372 жыл бұрын

    Hello, would you be able to do a video on hypothesis testing and hypothesis testing with binomial and normal distribution? Thank you!! These videos are incredibly helpful :))

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Hi Sarah! Yes, we do plan on tackling these topics soon! Thanks for watching!

  • @7gurubhai
    @7gurubhai Жыл бұрын

    Great Video. Nice explanation. Would be great if you would had explain how is mean and standard deviation formula is derived. :)

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Great point! I've been trying to keep these videos at a pretty high-level, but it would be cool to create a follow-up video going deeper into the derivations. Thanks for the feedback!

  • @thinhle7033
    @thinhle7033 Жыл бұрын

    Thank you so much Bros

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you! I'm glad we could help out

  • @sharificles
    @sharificles6 ай бұрын

    what you showed is where the order matters, so shouldn't you use a permutation and not a combination?

  • @yuvaSuryakotharu
    @yuvaSuryakotharu2 ай бұрын

    Also make videos on Poisson, multinomial and normal distribution in probability

  • @lea2856
    @lea2856 Жыл бұрын

    thank you for saving me

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank YOU for supporting me!

  • @vitwan5273
    @vitwan5273 Жыл бұрын

    Good job

  • @Aaron-tc1wz
    @Aaron-tc1wz Жыл бұрын

    Why is the formula for combination used as opposed to permutation?

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Great question! So we are ultimately using the combination formula within the probability formula because order does not matter for the successes. For example, if we were to try to calculate the probability of getting 1 failures and 2 successes, we would not want to treat getting 2 successes then 1 failure as 2 separate situations. There is ultimately no difference between one success and another. If we used the permutation formula, we would get 6 total options, but this we would only want to get three: success-success-failure, success-failure-success and failure-success-success. I hope this helps

  • @gisl2159
    @gisl2159Ай бұрын

    maan... We would do this math in 6th grade in Turkey. In Vancouver, 6th graders were learning -6+4 and did not even go over this math in highschool. Feeling like my highschool was wasted on repetition of the kind of math that I knew. E hardly went over the entry level to the differential math in grade 12. The result is. I study to be a designer and now try to remember physics and build on math myself to develop structural engineering in my own time and find myself at statistics equations and get shockked even more about the fact that what we called in 6th grade was what people call statistics. It takes a room of fools to close schools that prioritize the future and loving nature of students towards learning. Another weird thing, their graduates can't even find jobs. Wasted. No matter if it is a transition from highschool to university or moving abroad, I wish an easy transition for every one. Keep on loving learning, kiddos.

  • @bereketterfassa9843
    @bereketterfassa98435 ай бұрын

    very helpful🥰🥰🥰

  • @davidadvocate5449
    @davidadvocate54498 ай бұрын

    Very nice explanation! I reproduced your results using Python. I also tried to solve the "Birthday Problem/Paradox" that you may be familiar with (otherwise see Wikipedia) using the equation that you've demonstrated. My inputs were: n=23, p=1/365, q=1-365 and x=2 and a P(X=2) = 0.00179. Other workers report the answer as 0.5005. Is the Binomial distribution inappropriate for solving the Birthday Problem?

  • @maggie3675
    @maggie3675 Жыл бұрын

    underrated channel

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you so much! We try our best!

  • @macfly_5164
    @macfly_51642 жыл бұрын

    thank you so much

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    You are so welcome! Thanks for watching!

  • @ganjeblerencehanma6577
    @ganjeblerencehanma65773 ай бұрын

    Thanks

  • @crystalrosette5522
    @crystalrosette5522 Жыл бұрын

    i still don’t understand but i understand a tiny bit more.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Well I'm glad we were able to help that tiny bit! Thanks for watching!

  • @kheerthanaaanand1360
    @kheerthanaaanand1360Ай бұрын

    God bless you more ❤ thank you

  • @metasameta236
    @metasameta236 Жыл бұрын

    This is perfect

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you so much for your kind words!

  • @fatimaemad2524
    @fatimaemad2524 Жыл бұрын

    Could u make a video on permutations and combinations

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That is definitely a topic we plan on covering soon! Thanks for the input!

  • @mikaznavodya9300
    @mikaznavodya9300 Жыл бұрын

    Thanks bro

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You got it! Thanks for watching!

  • @MESSIMAHJJL1233
    @MESSIMAHJJL123310 ай бұрын

    this is amazing but why dont you create a video with examples of using the table and defining X, most of us have issues with defining X and how to substract and transform the words into math. But you are amazing

  • @alecross9158
    @alecross91583 ай бұрын

    You are saving my ass, Final worth 50% tomorrow.

  • @jai_hindutva1

    @jai_hindutva1

    Ай бұрын

    😂mine too

  • @EduTech01
    @EduTech013 ай бұрын

    Thanks for beıng helpful

  • @faisal_tarshon
    @faisal_tarshon11 ай бұрын

    thank u

  • @fatimaemad2524
    @fatimaemad2524 Жыл бұрын

    Thank u

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You are welcome!

  • @saratallouss3361
    @saratallouss33618 күн бұрын

    I love you bro ❤️

  • @user-yp1rg2jr5z
    @user-yp1rg2jr5z7 ай бұрын

    What is the population for Binomial distribution? What is the 100 random samples of size 50 where parameters n=35, p=1/6?

  • @xdiamond3205
    @xdiamond32055 ай бұрын

    so good

  • @GatwechpuokZuor
    @GatwechpuokZuor9 күн бұрын

    Yes is coming soon ❤🎉

  • @saqlainishfaq
    @saqlainishfaq3 ай бұрын

    Can anyone explain how p is 1/6 and q 5/6 it's same for all question or depends on question statement

  • @user-oq8zl2qz8b
    @user-oq8zl2qz8b Жыл бұрын

    Nice teaching ❤can u plis help me with poisson distribution

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you so much! That's definitely a distribution we aim to cover soon!

  • @bereket5662
    @bereket56626 күн бұрын

    amazingly perfect just except the white background. please use some other dull background. thank you

  • @agyaknp
    @agyaknp Жыл бұрын

    Super

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thank you! :)

  • @imonghose553
    @imonghose5534 ай бұрын

    Hi. Great video. I had a quick question. Anyone who has an idea can help out. I understood that P(X=x) = (nCx)p^xq^n-x. What about something like P(X=x^2) ? i.e P(X=f(x)) where f(x) is a function of x ?

  • @EliasVargas-Menares
    @EliasVargas-Menares Жыл бұрын

    how did you get 0.1157? I tried punching that into my calculator and get 0.13888444

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Great question! It seems like you may not have squared the 5/6. Try entering 6 * 1/6 * 1/6 * 5/6 * 5/6 and see if you get the right answer. I hope this helps!

  • @harleymanceras
    @harleymanceras8 ай бұрын

    where did the 5/6 came from?

  • @jasoninthea.m7471
    @jasoninthea.m7471 Жыл бұрын

    how do you find q? This video is really helpful, but the Q part is confusing.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Great question! p is the probability of a "success". Then q is just equal to 1-p. I hope this helps!

  • @jasoninthea.m7471

    @jasoninthea.m7471

    Жыл бұрын

    @@AceTutors1 okie!

  • @thijsjuhhh836
    @thijsjuhhh8363 ай бұрын

    legend