Binomial distribution | Probability and Statistics | Khan Academy

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Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Опубликовано:

25 ноя 2014

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Комментарии : 310

@johnperez7335 9 лет назад

The greatest attribute that I give mr. Khan is his incredibly patient steps. He does not skip a simple step. Extremely thorough. This makes his online teaching the most powerful. I actually FEEL like I'm in a classroom. Thank you Mr Khan.

@jarencascino7862 2 года назад

I don't feel like I'm in a classroom because I actually understand Mr. Khan.

@bigfootpegrande 8 лет назад

A good Teacher = the most precious resource on Earth

@goku1863 8 лет назад

+bigfootpegrande SO TRUE

@rjextreme6225 7 лет назад

haha, after oxygen too maybe !?

@5e889 7 лет назад

you overthought this

@rjextreme6225 7 лет назад

:p had to bro

@kez5729 6 лет назад

I think the value of a good teacher has dropped now we have the internet.

@TakedownO44 7 лет назад

Haven't done math since high school and I took the "slow kids math" when I was there because I absolutely hated math. Now im in my final year of University and had to take a geographical statistics class dealing with exactly this type of math and my god, you are a life saver. 100x better and clearer than anyone could explain to me. A good teacher is truly the most important thing on this planet. You need to be a teacher who teaches teachers. If you were my academic math teacher in high school, I would have grasped mathematics without issue.

@aymancloud8053 2 года назад

hey welcm back five years later .....what do you do for living ?

@dp.- 8 месяцев назад

@game3vids 7 лет назад

9:27 Error 404- English not found

@Burkesworth 6 лет назад

HAHAHAHAHAHAHAHA

@stephenprice3357 6 лет назад

kmsl

@tlhomotsemoteme2423 6 лет назад

OMG! This is so funny!

@BadKid95US 5 лет назад

haha

@jayadevjoshi3951 5 лет назад

hahahahah.. Every one has jumped there.. to see the error .. :P

@vicstockwell7475 4 года назад

This man singlehandedly carrying me through advanced maths class

@kwairembert1621 3 года назад

Bruh same😭😭

@opheliaalexa963 3 года назад

Same for me 😭😭😭

@brettnelson7518 Год назад

This ain't even advance. This is intro level stats bro

@krkmjr8429 Год назад

2 years ago.. do you still thinlk this is advanced

@helldome5426 Год назад

This is highschool level But C is existed in 10th standard 😂

@Chocolate10042 3 года назад

I can’t believe minecraft speed running took me here

@GalaxyGuy305 3 года назад

Lmao, same 😂😂😂😂

@zaydmohammed6805 3 года назад

Omg i barely payed attention when they were teaching this in class and after the whole dream thing im actually trying to learn it 😂

@peterkim8525 3 года назад

LOLLL SAME

@plushnf5381 3 года назад

haha

@wolfang08 3 года назад

Same

@hooralaeenalshamsi500 5 лет назад

Roses are red Vilotets are blue Stop reading the comments you have work to do

@sugarbear2169 5 лет назад

True.

@ddh19454 5 лет назад

Very true

@jeromeplaysm9675 5 лет назад

True

@cc32001 4 года назад

Caught me

@AaronccGuo 4 года назад

ty for stopping me here

@omrimizrahi4530 4 года назад

there wasn't any explanation of what Binomial Distribution is.

@IsaacAsante17 6 лет назад

Really wonderful explanation. Thank you for the formula! It makes so much more sense to me now than it ever did.

@user-wq1jf9px7n 8 лет назад

Kahn Academy saves lives.

@rupendar165 7 лет назад

When your math teacher was a rapper before becoming a teacher 👉 9:27 Syllables gonna holic!

@giftraboroko3889 5 лет назад

😂😂😂

@newfrontierfilms6314 4 года назад

🤣🤣🤣🤣🤣

@AhJodie 4 года назад

I can not believe how much you make me love math Sal!!!!! Thank you!!!!!! Your sharing will live forever and will change the world so much!!!!!

@omargarcia9772 3 года назад

At 9:26 is where you see when the Genius is truly speaking

@hummus9118 3 года назад

funniest comment i’ve read this entire month, thank you

@nocturnalvisionmusic 8 месяцев назад

That was a jumble 😁

@mickeyboicky 9 лет назад

Thought I was screwed on my test tomorrow until I found these videos. He makes it so understandable and actually explains it unlike any teacher Iv had in the past

@Sebas-gb6if 3 года назад

Man this video just confused me more

@brettnelson7518 Год назад

Lol you probably failed the test because this is the combination rule. Not binomial distribution 🤣 he didn't even teach what a binomial distribution is in this video

@pandagjjg6340 3 года назад

1920 - Learning maths to invent things 2020 - Learning maths to get luck in videogames

@maxwellsequation4887 3 года назад

Bruh

@alirostami241 8 лет назад

i never was never so proud of spending my time on something to do with studies other than this!!

@kevintjandra245 Год назад

Thank you Mr. Khan, this lesson very helps me to become a better data scientist

@noodels8321 5 лет назад

4:57 Wish it was as simple as flipping a coin :/

@ds1633 6 лет назад

Khan academy is a blessing from god

@boredomgotmehere 8 месяцев назад

Another great vid from Khan Academy. I can’t thank them enough for their sharing. Wonderful!!

@tabnwr4000 6 лет назад

As time passed Khan improved his presentation skills and writing , see his previous left and feel difference

@danielirooth5487 3 года назад

Learning this to wake up from my *_Dream_*

@anonymousjoe7382 3 года назад

*Yes*

@maxwellsequation4887 3 года назад

Bruh

@tim033 4 года назад

2:52, so no head?

@buthainabaqir1118 2 года назад

Nicely detailed and simplified . thank you

@tiffanydelgadillo55 4 года назад

Still freaking confused >.>

@AqashaAhmed 4 года назад

Here because COVID means I have to give myself lectures

@siban96 11 месяцев назад

Happy Teacher's day 🙏🏻 Thank you for helping me throughout my mba in finance

@jingyiwang5113 Месяц назад

Thank you so much for this amazing explanation! It is really helpful!

@tuuturu 2 месяца назад

wow, this is very wow for me, because I enjoyed every second of the progress of this video. I usually get bored when I study. I soon realized that this was because the video had no background music. Nice explanation too teachers

@PuffNips8741 6 лет назад

He teachers me better than my university. Like why??? KEEP IT UP AND THANKS

@brookeedwards6876 Год назад

so no heads?

@pratimasingh7442 2 месяца назад

😭

@michaelbacy3525 3 года назад

I do understan how you use possible outcomes here, but in this case the probability is 1/2. If we had a similar problem but with 1/5 probability of success then possible outcomse would still be 2^5=32, but the probability when x=1 wouldn't be 5/32, it would be 256/624, which is approximately 40%. I'm studying this topic and don't completely understand it, so if I'm missing something help would be really appreciated 🙂 What I'm trying to say is that possible outcomes may be two, but probability may 20% or 30% or 50% and probability is what matters not possible outcomes.

@Sinius333 8 лет назад

Sounds like the guy from firewatch! The resemblance is insane!!

@dyarx9464 2 года назад

2:48 man if only it was true, unfortunately there are 32 ways of me not getting it 😔

@caroljackson767 3 года назад

Thank you! Excellent explanation.

@MFconfuse Год назад

you have no idea how much i have cried for this. Thank you so much!

@Amy-jb6ml 6 лет назад

OMG.... I finally understand... Wikipedia was no help. U r my saviour.. THANK YOU 🙏 💖

@mmleehan 4 года назад

Your voice is so fine and soothing.

@samiahfaisal7329 3 года назад

thanks for the easy explanation...

@maarifawalcott5145 7 лет назад

Thanks. Helpful.

@poeskey 6 лет назад

I am currently taking statistics and even when im not going to class and instead teaching myself from the book it has been pretty easy. I will admit that it depends on the teacher / professor you have, but most of the concepts in statistics can be easily broken down into simple formulas. Most of the time these formulas are given to you in the chapter corresponding to the topic. I know that not everyone is a self-learner, but I enjoy it so much. The breakthroughs you mentioned are so much more gratifying when I learn and understand something on my own than when I have a teacher / professor spoon feed me all the tricks. Making sure to keep a notebook of all your notes, formulas, and practice problems is a great resource to study from. I have used my notebook (usually one per class) strategy since probably my freshman year in high school, and I still use it today in college. I would definitely recommend people do this (most of the time I see people using Laptops in class) because it has helped me so much whenever I couldn't remember something, or had to use a formulas from earlier in the year / semester. The last thing I have to say is that I see a lot of people using expensive high end calculators. The problem with them is that they can do a lot of these functions in statistics for you. You may be asking why is that a problem? Well the problem is that letting the calculator do all the work for you does not help you learn at all. I prefer using one of the cheaper 20$ calculators and using basic math to work through formulas. This helps give you a better understanding of how the formula works, and it helps you remember the formulas better. Long post, I know, but hopefully this helps someone else out there who may be struggling in statistics.

@geraldespinosa7888 5 лет назад

9:27 proved that were inside a simulation

@geraldespinosa7888 3 года назад

@Krishna press alt+f4

@smartdheeraj2157 6 лет назад

My exam is near i don't know nothing about the binomial distribution till i see this video This is really helpful to me Thanks for making such great video

@chae9854 4 года назад

Here to learn Binomial distribution for Statistics for my psychology degree and I have no idea what a factorial is lol

@ThinkLikeaPhysicist 4 года назад

Are you still looking for an answer to your question? n factorial, written n!, is n x (n-1)x(n-2)x(n-3)....3x2x1 for non-negative integer n. I've got a video called A Tiny Bit of Combinatorics that you might find useful. Also a whole playlist on the binomial distribution.

@anticlimacticorangejuice6118 3 года назад

It’s the exclamation point! if you see 4! then that means 4x3x2x1, so the number behind the ! multiplied by every integer lower than itself that is not 0. 8 factorial is 8x7x6x5x4x3x2x1 :) hope that makes sense

@keatodiet 3 года назад

dream's favorite subject

@ShaneOrr1 3 года назад

this video just cleared up what a semester of stats couldn't.

@julesvg3111 3 года назад

Better than my Experimental Physics Teacher's explanation xD Amazing, thanks!

@wingyeehe5074 3 года назад

Super helpful to me!!

@d9zirable 3 года назад

DREAM MOMENT

@soulessprince 7 лет назад

great video OP it helped me

@montage_origins9786 5 лет назад

Very good and easy to understand

@Nikklas57 9 лет назад

6:47 He's called RNGesus

@RegisteredSexDefender 9 лет назад

Nikklas57 I came here from KhanAcademy.com just to comment that, but I see you have that covered.

@slyman4u 8 лет назад

Thank you so much!

@jahnavisanjay5170 2 года назад

Very helpful!

@nextleveltech267 9 месяцев назад

Thanks a lot..❤️ Really helpful... I really enjoyed the class..❤️❤️

@rishimalhotra7331 6 лет назад

4:57 I know I am sick minded :)

@Hashtag_Laser 5 лет назад

Omg I actually figured it out!

@drallisimo34 Год назад

cool tut!!!

@M.......A 4 года назад

What is the track pad used for this?

@samuelalake1790 4 года назад

why are we using combination and not permutation? Does the order of the occurrence of heads or tail not matter?

@TK-224 9 месяцев назад

I never learned it in class properly, but here, I know how to do it all now.

@olakolade6656 5 месяцев назад

woww i get it!!! it’s easier now thank you!

@mostinechimenge7385 7 лет назад

you are ready smart and thinkable gentlemen

@georgiossamaras5063 8 лет назад

Very nice, tnx!

@esmailiyou 6 лет назад

Awesome!!

@nocturnalvisionmusic 7 месяцев назад

6:12 love that "alright we're making good progress", found that very special 🙂🤗 Watching on 12-19-23

@nocturnalvisionmusic 7 месяцев назад

Also 4:40 "if you are inspired, I encourage you to be inspired" 😇

@mousabaqili975 2 года назад

thank you ver much DR khan

@mustafaissa98 5 лет назад

you should be a voice actor nice voice 👍👍👍👍👍

@ozzmansymes-hull6370 5 лет назад

Great video!

@nicolassantis5198 5 лет назад

Can I use binomial distribution if the outcomes are not equally likely?? (Eg: a diagnostic Test), in that case what should I change?

@brettnelson7518 Год назад

This isn't a binomial distribution. This is counting rule.

@EsmeraldaHoxha91 2 года назад

Excellent video 😊

@j.c.dickson9655 2 года назад

Thank sweet Jesus for these videos! Very helpful.

@Stichting_NoFap 5 лет назад

Why not multiplied by (p^x)(q^n-x)?

@gauthamemmanuel7809 5 лет назад

what do we do if the probabilities are not equal??

@Antz_411 4 года назад

So simple. Thank you!

@stephenprice3357 6 лет назад

what happened at 9:27? lmfao

@diamxnd4202 5 лет назад

he sounds like Rick

@giftraboroko3889 5 лет назад

😂😂😂

@christianfisher3306 4 года назад

@@diamxnd4202 He IS rick sanchez

@nataneljose2571 5 лет назад

hi, where can i find the khan academy e-mail to talk to a khan academy agent?

@jovankal6154 6 лет назад

please i would like to know the software you use to make these videos kindly help me from italy

@rifaathanver1221 8 лет назад

At the end of the lesson you said that Possibility of getting Zero tail is the same as possibility of getting zero heads. I think it should be corrected as "the possibility of getting five heads". This how you started: P(X=0) = 1, means No Heads, meaning all 5 are Ts. This and the other videos of probabilities and gnarly all math lessons which I am following are great stuff. Thank you Sir.

@diyaraodrona4281 Год назад

I think actually he was drawing a comparison between the first example -P(X=0) and the last. The probability of 0 heads does = the probability of getting 0 tails = the probability of getting 5 tails or 5 heads

@Brodysseus113 5 лет назад

I have to do this for 36 dice So like 6^36 Most calculators don’t go that high

@anamtaamin6135 Год назад

Great Explanation but Low Volume.

@quinxx12 7 лет назад

Somehow I thought that to calculate the possible outcomes from 5 flips I would have to calculate 5!. What had I calculated like that?

@factsofstats4513 4 года назад

amazing

@TH3Willster 5 лет назад

Because we want the probability of all outcomes wouldn't we use permutation instead of combination Im probably wrong but i just want to understand why combination is used

@omarkhalaf7014 4 года назад

What is the difference between this way of calculation and the binomial formula (which is nCr * p(success)^x * p(1-success)^n-x)?

@ThinkLikeaPhysicist 4 года назад

Here, p(success)= 1/2 and, therefore, 1-p(success) also =1/2. I'll just call p(success) p, to make the notation slightly easier. If the total number of flips is n, and the number of successes is x, you get (n choose x) p^x (1-p)^(n-x) which here is equal to (n choose x) (1/2)^x (1/2)^(n-x) =(n choose x) (1/2)^n So, this video is a special case of the formula where p=1/2. I've got a playlist on the binomial distribution, in case that's useful to you.

@omarkhalaf7014 4 года назад

@@ThinkLikeaPhysicist thank you, and yes that is great. I will check it out (the probability of 1/2 isn't that useful to me)

@bradyfoster4194 3 года назад

I can’t believe being on zoom for a semester made khan academy the best account on RU-vid 🥴

@estelleMaimouna 3 года назад

Thank you soooooooooooooooo much

@austinnunez2031 3 года назад

i just realized the numerators follow pascal's triangle...

@Three-minutes-Review 5 лет назад

I'm confused with the concept that each experiment result will not affect the probability of the next one.. Isn't we always have 50% chance to get heads

@antisocialbarbie1587 Год назад

Thank you

@talhajubair2827 4 года назад

there can be only two outcomes in a coin head or tails is not it?

@Raven-pt9bf 5 лет назад

Sir, i have a doubt Why didnt u multiply 5C0 with 5C5(outcomes of tails) and divide by 32?? For P(X=0)??? Why did u just took 5C0 and divide eith 32???????? Plzz reply, sir.