Introduction to Random Variables

[@luke9158]

You got me through pre-calc, chemistry, and now stats. It's great that you make this sort of thing available. Thanks so much

[@dukesen98]

Dear Mr.Khan you are a real life savior. Teachers at my college make things so so hard o understand,and you just helped me understand the things in less than 15 min.And the teachers at my college couldn't get it done in an 1 hour. Keep up the good work sir!!

[@bnv8514]

Your comment is never out dated

[@nathaniel3340]

Yes

[@bcnicholas123]

I wish employers accepted degrees from Khan Academy. I've sure as hell learned a lot more here than in college.

[@AdonisGaming93]

you can, go take the exams for each course at a college and instead of attending class, watch khan academy. If it works then you get the degree

[@GeneralPet]

@@AdonisGaming93 Yeah, some courses need additional projects and attendance, Labs etc. There is no university today that you can simply go to the exam and get a good final grade. You can pass, but a bad grade

[@germancortes9443]

you are right. I am literally sitting in my statistics class for engineers, watching the professor talk while I just watch the videos on youtube.

[@danniefmr]

@@GeneralPet One of the degrees i am taking right now (management in ISCTE univesity) does not need attendence, and you can get a degree just by doing exams.

[@adityashikhar6143]

Thanks to this man. He does nothing less than the best in clearing the concepts to the fullest. Making me completely fall in love with statistics

[@igalbog]

Sal, you're great. You teach as if you're doing this for your best friend, and it is clearly felt throughout all your videos. Thanks!

[@RImAPhan]

Salman Khan, YOU ARE MY HERO! Thank you for making me understand what my lazy-ass teacher was too tired to explain even though she's getting a thousand dollars for this course!

[@IvCastilla]

Perfectly clear. Min 11:30 must write 1/2 you wrote 1/5 Thank you,

[@MultiKB13]

It's not what he wrote, it's what he meant xD

[@kalef1234]

this is where i come when i miss one day of stats class thanks for all you do!

[@FuckThisShit422]

i mean, i swear, the internet could totally replace class/tutorial time in the first couple years of any given university program if given the syllabus.

[@Fahad0947]

this aged pretty well

[@Skulltroxx]

only if ideas could get patented

[@shivankitss8396]

@@Fahad0947 lol

[@trainedtiger]

You are awesome Sal. Thank you very much. God will bless you for doing this.

[@majesticsunset8184]

Who's here from the quarantine period and doing online school through Khan Academy lectures?

[@danieljumbo5875]

HERE

[@darkpaintballer0666]

@@danieljumbo5875 Nothing like paying 30k to have them redirect me to KZbin videos

[@yoooo111]

Dear Mr. Salman Khan, you are a life savior ..

[@Agilulfa]

Thank you so much! I'm trying to remember math for my GRE. I was good at school, but it's been a while since then... and I can recall Algebra better than Statistics. This has been really useful.

[@vamsikrishnaj4429]

I'm here for learning stats for Data Science. Thanks a lot Khan!

[@roopaperuri6721]

Me too...

[@therobinshaw]

Same

[@ADITYA_CHAWALE_69]

me too

[@Tata-uj3tl]

my life counts on your courses

[@TimmysMummy]

I hope these vids are available when my kids are school age... I use them now for uni... and think they are fantastic!! xxx

[@abdallalotfy3923]

11 years later and yet they still work just fine instead of the stupid lecturers.

[@TheBigFella]

Thank you very much for taking the time to put this together!

[@yaziyo]

It's so refreshing watching a maths lecture and knowing what is going on for a change. :)

[@jonathanphlek5252]

i am grateful channels like this exist having trouble understanding my lecturer

[@mrvlhs]

You wouldn't believe how shitty my teachers can be... such easy stuff to learn in 10min and I couldn't learn it from them in 1h. Thank you a lot, this is worth gold

[@GT-hj7ko]

Watched a lot of your videos and must say thank you for your explanations.

[@sudarshanbabu70]

I did not understand the video from Stanford university but this simple video was the base that i wanted to understand thank KHAN ACADEMY you are really awesome in explaining things.

[@parsaparsafar252]

This channel is perfect. On that time you`ve been recording this, i want a banana but still this better than any academic course around the world

[@talhaarif6219]

"I don't know"-Mr khans favourite word 😂😂😂😂

[@nocturnalvisionmusic]

:D

[@genevakayla1]

Thank you so much! You're gonna save my butt in stats this semester! :)

[@talatmukhtar]

it made my life easier, thank you for your work

[@YusukeYurameshii]

I have a ststs lecturer with a heavy chinese accent too! I did not even know how to pronounce poisson or mu till I went on you tube. He cracks me up when he says take half of alpha. "harfa arfa" lol.

[@rajkumarhazra7441]

Your voice is awosome. And the style "I don't know".👍👍👍👌. Ur teaching is very easy...

[@linuxisbetter0]

Your series on probability helped more than Sheldon Ross textbook.

[@dhruthycauvery2062]

great lesson sir.you r amazing.u make things so simple.thank you sir.

[@Osmancarrisot]

Congratulations it was easy to understand the idea with your explanation.

[@blin794]

This helped me a lot! A huge thanks to Khan Academy

[@bnv8514]

I mean even when the comments r complimenting sal's great vids, they also prove that education system in school/uni is nearly broken 😂 (or already broken)

[@ushan1999]

Thank you sir for all ur videos its awesome great....It helped me a lot for my probability and stats exam..thank u again

[@JeremiahPTTN]

I wish the teaching I'm paying for was more like this...

[@Andratos95]

That function is not actually called probability density function, it is called probability mass function. The prob. density distribution of a discrete random variable actually has Dirac's deltas centered in the values that the X can assume, and have area equals to the probability of those values to occur.

[@Djhg2000]

3/6 = 1/2, not 1/5 ( 11:30 ). Otherwise, great video! Every video that I've seen from khanacademy has been really good!

[@riteshmukhopadhyay6922]

I was looking for this comment

[@rahiqueabdul392]

U just nailed it Mr Khan.....

[@bajahey]

I appreciate your educational videos. Thanks a lot!

[@esthermwa]

love it!!!! u make my life so much easier.

[@FluencyAccentCoach]

Thank you for teaching. It helps me a lot.

[@2438kobe]

Made my homework so much easier! :) thanks

[@hashim710]

he is a human, u know humans do mistakes, but over all he is amazing, dont u agree?

[@rileymckenna1359]

Explaining better than anyone!!

[@CitizenVet]

Great lectures. thanks

[@marwanchehab9575]

11:30 3/6 is 1/2, not 1/5

[@hashim710]

you are amazing sir, thanks alot for this useful videos

[@cyfleming5500]

Yes, a common affliction when first introduced to random variables...keep working at it!

[@junaidsheikhussein3881]

Thumbs up Mr Khan! My lecturer sucks.

[@AleifrLeifrson]

They really should teach more of this and less of calculus before university. Unless you're an engineer or a scientist you're NEVER gonna use calculus, but statistics and probability can get fun and useful very fast.

[@candacecharleston1444]

Great help for my Statistics class!

[@BeanSprouts02]

The real struggle is when even your own teacher in class don’t know what they’re talking about. They would sometimes act like they do, but when you try doing your own research regarding the topic and find that it contradicts some of their teachings, your mind just gets boggled up.

[@Matdogg2k]

Great lecture! What program r u using by the way?

[@LilianGGondo]

the best lesson ever

[@mls20]

I almost jizzed my pants when you started writing exactly what my professor was wriiting and I was still following along

[@declined80]

I know this sounds silly but I noticed a little mistake at 11:31. you said "One sixth plus two sixths equals 3/6 OR ONE HALF" perfectly correct, but you actually wrote 1/5 instead of 1/2. Otherwise this vid is great. extremely helpful

[@suptydewan10]

10:06 uniform distribution

[@idster7]

I am curious as to how the interactive transcript for these Khan videos were made. It seems much better than the usual computer-made transcripts. But yet I did spot an indication of a computer's confusion: 4:52, "accountable number" when Khan actually said "a countable number".

[@danisjustcool]

great video...i can't uderstand anything from the coded definitions given at university. Thanks a lot

[@MrAnkushsardana]

great video loved it ... pls correct 1/5 to 1/2 at 11.30 sec

[@gulianorman2412]

11:30 u meant it 3/6 which is 1/2 right ? Or is x>5 has smth to do with 1/5 ?

[@bluesmoon]

correction: right at the end, that should be 1/2, but you wrote 1/5

[@Shintsui]

awesome tutorial, thank you so much for this video.

[@1600-i6p]

Discrete random variables can have an infinite number of outcomes too can't they? The think a better distinction would be that discrete random variables are assigned integers while continuous random variables are assigned real numbers.

[@mayankbhandari3536]

discrete random variables need not to take only integer values. You can distinct in this manner, if we provide a range bounded by 2 finite numbers then discrete random variables can't take infinite values in this range.

[@stephenschumacher7876]

I was curious of the same thing. Maybe 'countable' would be more accurate than 'finite' if you are right.

[@chi94]

you made a mistake, you wrote 1/5 instead of 1/2.... the student became the master

[@bibekanandabhattacharjee952]

Again, so nice. Thanks.

[@CasHCreeW]

I don't even know which video is next in this series? Naming the videos by numbers should have helped..I'm so confused :(

[@thetradegathering]

Your videos are great! Keep at it!

[@julliangregorio243]

I have a question. Why is it that khan academy is so cool? They even have these avatars in their website.

[@macronelmacron7133]

ONE HALF IS 1/2!!

[@TwistedLemniscate]

@AleifrLeifrson yeah, but it might be useful to mathematicians being that practically all of probability (not the basic basic stuff) is derived from calculus

[@FuckThisShit422]

WHY CAN'T F'IN PROFESSORS TEACH THIS SUCCINCTLY AND EFFICIENTLY! ITS DRIVIN ME CRAZY

[@ccaarraann]

There's an infinite number of numbers between an two numbers, it makes sense...but my head just exploded.

[@jothiram1951]

Good lecture.I like this.

[@alfredodiaz994]

this was very helpful for me

[@TasdiqueChowdhury]

1/2* not 1/5 at the end

[@ken1byn]

why don't we have profs like this guy at school???

[@kdunn2928]

thanks for making sense of a very confusing topic!

[@stephjones55]

Even if he's wrong, he's still right.

[@paulpaturel3982]

And if the issue is any Natural numbr, then is it a discrete or continuous interval ?

[@jiaojunfeng]

very good, i love ur class,

[@btssuejibae8130]

I have a question! Can the value of the random variable be negative?

[@lijabrham7080]

thanks for this lecture

[@yigao1759]

so random variable is assigning ANY random number to an outcome? So when i roll a die, can i assign a 28 if i get 1, 319 if i get 2, 3393 if i get 3, 2919 if i get 4 etc? LOL

[@TheJsc1983]

thanks for the video, its really helpful,

[@stultus938]

Hey I know that voice!* look at the vodeo description*ahah that's him all right, my favorite teacher:)

[@sachinbhusari5875]

Which model is good for designing mechanical components

[@SamirSamir-it6bj]

Thanks so much,very helpful

[@satyamsethamsetty2428]

nice explanation sir keep it up

[@kris1227]

Awesome Vide0. Great Job!!

[@gennkill]

another great video! thanks man

[@panchovilla8131]

I am planning to take a computer Cryptography course, and I need to learn this. :)

[@apurbabauri3878]

How come it is called a function, when the very name is random variable? How can a variable be a function?

[@patidarparas13]

which software is used on writing on screen

[@1207_patidar]

anyone new here

[@ankitcaring]

interview tomorrow on ML

[@1207_patidar]

@@ankitcaring best of luck man .

[@SHUBHAMSINGH-gh6ln]

@@ankitcaring hi , is this playlist enough for starting learning data science

[@annasamudram]

can i know what software r u using for this

[@ujjvalsharma7304]

Sir interview preparation bhi hai

[@pranjalkr39]

2 impossible .How?

[@20PkA]

looks like paint.. not sure tho lol.. assuming you are asking about the stuff he writes on screen..

[@dheerajkumar837]

thanku very very................ much sir