Binomial distribution | Probability and Statistics | Khan Academy
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- Опубліковано 25 лис 2014
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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!
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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.
I don't feel like I'm in a classroom because I actually understand Mr. Khan.
A good Teacher = the most precious resource on Earth
+bigfootpegrande SO TRUE
haha, after oxygen too maybe !?
you overthought this
:p had to bro
I think the value of a good teacher has dropped now we have the internet.
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.
hey welcm back five years later .....what do you do for living ?
yo
This man singlehandedly carrying me through advanced maths class
Bruh same😭😭
Same for me 😭😭😭
This ain't even advance. This is intro level stats bro
2 years ago.. do you still thinlk this is advanced
This is highschool level
But C is existed in 10th standard 😂
Roses are red
Vilotets are blue
Stop reading the comments you have work to do
True.
Very true
True
Caught me
ty for stopping me here
I can’t believe minecraft speed running took me here
Lmao, same 😂😂😂😂
Omg i barely payed attention when they were teaching this in class and after the whole dream thing im actually trying to learn it 😂
LOLLL SAME
haha
Same
9:27 Error 404- English not found
HAHAHAHAHAHAHAHA
kmsl
OMG! This is so funny!
haha
hahahahah.. Every one has jumped there.. to see the error .. :P
At 9:26 is where you see when the Genius is truly speaking
funniest comment i’ve read this entire month, thank you
That was a jumble 😁
When your math teacher was a rapper before becoming a teacher 👉 9:27
Syllables gonna holic!
😂😂😂
🤣🤣🤣🤣🤣
Kahn Academy saves lives.
1920 - Learning maths to invent things
2020 - Learning maths to get luck in videogames
Bruh
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
Man this video just confused me more
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
Really wonderful explanation. Thank you for the formula! It makes so much more sense to me now than it ever did.
Here because COVID means I have to give myself lectures
4:57 Wish it was as simple as flipping a coin :/
Khan academy is a blessing from god
i never was never so proud of spending my time on something to do with studies other than this!!
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!!!!!
there wasn't any explanation of what Binomial Distribution is.
Learning this to wake up from my *_Dream_*
*Yes*
Bruh
9:27 proved that were inside a simulation
@@KrishTalksTech press alt+f4
As time passed Khan improved his presentation skills and writing , see his previous left and feel difference
Here to learn Binomial distribution for Statistics for my psychology degree and I have no idea what a factorial is lol
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.
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
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
Thank you Mr. Khan, this lesson very helps me to become a better data scientist
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.
6:47
He's called RNGesus
Nikklas57 I came here from KhanAcademy.com just to comment that, but I see you have that covered.
2:48 man if only it was true, unfortunately there are 32 ways of me not getting it 😔
Happy Teacher's day 🙏🏻
Thank you for helping me throughout my mba in finance
Still freaking confused >.>
2:52, so no head?
Another great vid from Khan Academy. I can’t thank them enough for their sharing. Wonderful!!
Sadly most of Dream's fan base are too young and lacks prior knowledge required to understand this.
Oh, right, they don't even care if he cheated or not. They probably won't see this comment anyways:)
He teachers me better than my university. Like why??? KEEP IT UP AND THANKS
Nicely detailed and simplified . thank you
Sounds like the guy from firewatch! The resemblance is insane!!
this video just cleared up what a semester of stats couldn't.
4:57 I know I am sick minded :)
OMG.... I finally understand... Wikipedia was no help. U r my saviour.. THANK YOU 🙏 💖
Your voice is so fine and soothing.
DREAM MOMENT
Better than my Experimental Physics Teacher's explanation xD
Amazing, thanks!
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
you have no idea how much i have cried for this. Thank you so much!
Thank you! Excellent explanation.
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.
Thanks. Helpful.
dream's favorite subject
I can’t believe being on zoom for a semester made khan academy the best account on UA-cam 🥴
I never learned it in class properly, but here, I know how to do it all now.
I'm watching this and some other videos on binomial distributions, because I want to better understand the debate over whether Dream, one my favorite UA-camrs, cheated at speedrunning Minecraft --apparently by rigging the probabilities of ender pearl trades. The people who understand the math mostly seem to agree he cheated, and sadly I think they're probably right. But I love Dream and I want to understand the arguments for myself. Too many people are picking sides and getting in fights about it without first understanding the math.
I think by further understanding the math of this, it's easier to grasp that feeling of how actually low the chance is. Many people don't understand the math often states that "1 in a 7.5 trillion is not that impossible", or "it can still happen, he's just really lucky". And there's no way to make them flip their perspective because they haven't establish the sense of these numbers yet.
dream was good in 2019
The probability is 1/7.5 Trillion
Thank you so much!
thanks for the easy explanation...
Omg I actually figured it out!
you should be a voice actor nice voice 👍👍👍👍👍
6:12 love that "alright we're making good progress", found that very special 🙂🤗
Watching on 12-19-23
Also 4:40 "if you are inspired, I encourage you to be inspired" 😇
great video OP it helped me
Super helpful to me!!
Very good and easy to understand
woww i get it!!! it’s easier now thank you!
Very helpful!
Thanks a lot..❤️ Really helpful... I really enjoyed the class..❤️❤️
Y’all getting zero heads?
you are ready smart and thinkable gentlemen
I have to do this for 36 dice
So like 6^36
Most calculators don’t go that high
why are we using combination and not permutation? Does the order of the occurrence of heads or tail not matter?
cool tut!!!
what happened at 9:27? lmfao
he sounds like Rick
😂😂😂
@@diamxnd4202 He IS rick sanchez
Can I use binomial distribution if the outcomes are not equally likely?? (Eg: a diagnostic Test), in that case what should I change?
This isn't a binomial distribution. This is counting rule.
Thank sweet Jesus for these videos! Very helpful.
Why not multiplied by (p^x)(q^n-x)?
i just realized the numerators follow pascal's triangle...
Very nice, tnx!
What is the track pad used for this?
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.
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
THE PROBABILITY OF GETTING ZERO TAILS IS EQUAl TO PROBABILITY OF GETTING 5 HEADS. sorry to say but you mentioned zero heads in the video. Thank you and thank you for the video
Awesome!!
I'll be writing my Exam in 6 hours...thanx a million
I wish math never existed
what do we do if the probabilities are not equal??
Great video!
thank you ver much DR khan
Excellent video 😊
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
Great Explanation but Low Volume.
Khan Academy is very useful and important education platform, so I advise you to co-operate to keep this education channel active for free, there are millions of students could not pay for one private lesion online , in addition we all paying for things that doesn’t so important but if you think for a while you will find that education is most important thing that we should all support it to continue .
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
Somehow I thought that to calculate the possible outcomes from 5 flips I would have to calculate 5!. What had I calculated like that?
So simple. Thank you!
dream fans
Wait- are u a utube gamer too? I swear I’ve heard ur voice before?
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.
What is the difference between this way of calculation and the binomial formula (which is nCr * p(success)^x * p(1-success)^n-x)?
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.
@@ThinkLikeaPhysicist thank you, and yes that is great. I will check it out (the probability of 1/2 isn't that useful to me)
Khan sorry for what I said about ur teachings 😭
U r a lifesaver
KHAAAAAAAN!!!... I bet I am not the first trekkie nerd to say that one....anyway, my poor bruised little brain wants to hug you for being clearer than the book.
like fr how many subjects does khan know wow
hi, where can i find the khan academy e-mail to talk to a khan academy agent?
please i would like to know the software you use to make these videos kindly help me from italy
I have an exam today statistics, I need that