Finding a CDF from a pdf

[@david0aloha]

I'm trying to brush up on my stats for a course on Bayesian Machine Learning, and this is the clearest example I found. I thought this is how the cumulative distribution function worked, but the other sources I encountered were less approachable for someone who hasn't taken stats in awhile. This used basic integral calculus and confirmed that my intuition was correct. Thanks!

[@hk254lyt8]

Hey from the future 👋. How is your machine learning journey so far? 😅

[@david0aloha]

​@@hk254lyt8 Hey. It's good! I have been working as a data scientist for a year and a half, and have a modeling pipeline I built for personal projects.

[@alisatodorova]

This was so simple, concise and clear to understand! Thank you!!

[@nathandowner6007]

Can't tell you how much I needed this. Many thanks from myself and my grade!

[@AjayKrews]

Crisp, clear and very concise. Thanks mate!

[@hockey12xtreme]

5 years later still helps me greatly thank you!!!

[@iosifpuha6114]

you're THE MAN, thanks so much, got theory of information exam in less than two days, you saved me

[@tuwilikashinana9168]

I really have to watch this like more than 10 times because of the graph, it’s not clear 🙁. But this was all the eplanation I needed. Thank you.

[@ilkerkeklik6122]

That was the first question of the midterm of the Modeling and Discrete Simulation course at Marmara University.

[@rifimochahari770]

Thank you for explaining through these easy examples .

[@thijinkhanlok2150]

Can't tell you how much this one has assisted me, thank you

[@shhhhhh3945]

Why does x stay the same instead of being multiplied with the xˆ2 inside the bracket and hence becoming xˆ3? Pleaseee anyone answerrrr

[@thilankadissanayake6297]

Finally I found the best explanation video❤

[@emilieandersen-ranberg510]

I'd also like to thank you for very effective teaching in this video! It's great! Just one minor thing that I nevertheless think could increase its quality is if the writing could have been less hard to interpret :) It's a bit like Doctors handwriting ;). I know, there may be technical aspects at play, but still, it's just my well-meaning suggestion.

[@abdul0500M]

Great job explaining. Very clear and to the point. Thank you. The way you write the x tho really bothers me hahah

[@Shiny_Services]

Thank you, bless you Sir. no time wasted straight knowledge straight facts, you're a beast.

[@Jobic-10]

Thanks very much. It saved the day. Sarcastic part was 8:20, the background looked like a truck was coming.

[@JamesMwas28]

well explained.Thankyou

[@Tsunade64]

Awesome video my man! Just a quick question, at 5:00 why do you put 1, x>3 instead of 0, x>3? Doesn't it say 0 for all other values outside of the range of f(x)?

[@marcbarry5861]

A CDF is the cumulative probability. So, the sum of the probabilities up to that point: P(X>3)=1. The graphs of the pdf and cdf are different. He did not graph the latter.

[@mrcamilleri2934]

Yes, but this now a is a cumulative function, which is different to the probability density function. It means that the area under the curve will be 1 for any point where x>3, because we are counting all of the area up to that point.

[@jaiso434]

thank you for this.

[@linjinghe6544]

Thank you for your clear explanation. It's super helpful!

[@zainsaeed147]

why in 1st example the probability is 1 after 3 ..Reason ?? the graph is still touching zero as in case of x less than 1

[@keepbreathing2659]

is it okay if we dont subtitute values and just get the function for example without substituting the value in second part function we get is 7+2x3/21

[@niharikadamani8980]

Sir, when you are using "x" as a limit how can you integrate the PDF using "dx". Shouldn't you use a dummy variable?

[@mr.anonymous2507]

X is a variable value between 1to3 for finding the probality at any point

[@Lucas-ns9hd]

Yes. Bad form not to.

[@AmandeepSingh-ur2sn]

Thnx for explaining...ND no problem with handwriting, Its better than mine

[@EmilyXieX]

Thank you. This was a super, super clear explanation.

[@azadsadiqli]

Help me please, is there any difference between corresponding distribution function and cumulative distribution function?

[@thisiswhoiam7249]

I have a question (in the 1st problem). I understand why the cdf becomes 0 when x < 1. But... The cdf is (x^2 - 1)/8 if 1 ≤ x < 3; and the cdf is 1 if x ≥ 3, aren't they?

[@mrcamilleri2934]

I think you’re referring to the inequality signs relating to 3. When x is 3, F(x) = 1 either way. Whether you say F(x) = 1 when x ≥ 3 or F(x) = (x^2 - 1)/8 when 1≤ x ≤ 3. Substitute 3 into this and you still get 1. So doesn’t matter whether you include 3 in the second or last statement. This is because the probability of an exact number = 0. So the inclusive inequality signs are pretty much irrelevant.

[@anastasiiaokonnikova2187]

Thank you for the clear explanation! It was very helpful

[@anastasiiaokonnikova2187]

And.. I understand your handwriting and don't understand people who don't :D

[@ekaterinafeldman5394]

Could you please explain why you have X^2 / 2? Is f(x) by definition x^2?

[@sinanustuner3974]

Why do you get a probability that is greater than 1? For instance with the second example f(x)= 2/7*(2^2) >1 ... surely it doesn't work?

[@dreambig1564]

greaaat explanation i finally could understand the concept thanks to ur video, please just consider improving the way u write, other than that, just continue adding some of these awesomeee videos. danke schÖn

[@ritupangogoi7140]

Many many thanks to you bro .. I need the most... honestly

[@kidamongus7331]

why would you add area of A i. e. 1/3*1...??? There is an integration that will add the area already..

[@drfaridonamdjadi7516]

The variable under integration should be something different from x, say 1/4tdt. Very well explained

[@salarhussain6189]

bohat papi samjhaya re, love from Pakistan

[@thedailyshowwithcomicaldelo]

perfect..never found something simpler!

[@vanthiya_thevan]

good explanation sir.u have done a great job.

[@nimrakhalid7211]

if question is P(X+Y>3)..........what should i do?

[@chaewonkim9985]

Thank you so much, you really saved my life on understanding the concept!

[@kelvinmuli1107]

Thanks!! Keep posting more...I will tell my friends of your channel

[@jrtthamasha7306]

Great Explanation😌

[@thalassatrinculo]

why is it 1 for x>3? shouldn't it be 0?

[@nuraqilahsyahirah9798]

for the f(x) then , then yes x>3 is 0. but since its F(x) which is the CUMULATIVE distribution function, the value is for x>3 is 1 since the total area for overall is 1. the total area is 1 when the range is between 1-3. anything above 3, is considered more than 1.

[@stevemwanza7521]

Well explained 🙏

[@caniko2]

I understood everything, thank you! In part 2, F(x) is x/3 when 0

[@mrcamilleri2934]

Because its continuous, it doesn't really make a difference because the probability of x=1 is 0

[@TheSwordman2]

Thanks mate.Keep up.You're the man.

[@ericaikens5970]

Hate to be nitpicky, but why do you draw your x's like that...

[@jonathanlindberg1426]

Incredibly, thank you so much!!

[@BetulGC]

Error in the final F(x) In the cdf while writing the function for 1

[@BetulGC]

Ok, I see what is happening... duh! As the name suggests it is cumulative. Similarly p(x)=0 for x>2 but P(x)=1 for x>2! Got it. Thanks.

[@baiqing]

Better than my lecture can I pay you the tuition instead

[@oseidarren3686]

great explanation

[@danielaperez2842]

You're incredible! Thanks you so much!

[@davidbalakirev5963]

Very nice! It really helped me.

[@peerapongwattanthaweesin8304]

Good work, my g.

[@keepbreathing2659]

the second part answer should have been 7x+2x3 /21 no?

[@hello-cw9cj]

Really nice 👍

[@Cozyvlogsus]

Really helpful, thanks!

[@memememe5465]

How we get 7??

[@thodasikho1242]

You are totally amazing

[@StephanyNovoa]

Very helpful! Thank you!

[@AJ-et3vf]

great video, thank you!

[@jackc7475]

very helpful, thank you

[@MrJtsai1]

Awesome Vid! Much appreciated!

[@r.f2173]

thanks man

[@HunterD510]

Thanks, helped me a ton.

[@Anna-hn8nr]

why is the probability 1 at x > 3

[@mrcamilleri2934]

It's because we are looking at a cumulative function. The limits of the pdf is between 1 and 3, so anything before 1 the probability is 0. Anything above 3 the probability is 1, because the cumulative function encompasses everything up to the number inputted, if you choose a number 3 or greater, it will have given the area of the entire function, which is 1. Hope that helps.

[@pranaytanniru7764]

awesome video bro thank yu verymuch

[@garyhe6267]

Your voice sounds nice.

[@DikasLittleWorld]

Thankyou !!!!! It is very helpful

[@jacknewall7838]

Great video. Thanks :)

[@reemj8382]

Great!!!!! Thank you so much for this

[@sumaiyadeadz9157]

awesome explanation thank you ^^

[@vrujahisuware1466]

how to find cdf from pmf

[@ayez_xs]

you saved my life ...

[@onabill155]

You are awesome man

[@dimitrykrot4341]

Thank you so much

[@ataarpac945]

wonderful thank you man

[@celine.semaan]

you sound like you could be a harry potter character

[@Anjali-uz5ty]

Thanx sir

[@benfu4364]

the video gives useful information, thank you very much better handwriting next time XD

[@Zahidalizahidi]

welldone man

[@jaiso434]

thank you.

[@MrTomro]

Thanks a lot

[@gabypink5523]

👏🏾👏🏾👏🏾 bravo

[@giorgion.6652]

Thanks sir.

[@abdullahzeb1727]

Keep it up

[@samtheham1280]

I love you thank you

[@saveUyghurs]

Excellent!

[@SomethingGamecatAdjacent]

thank you!!

[@kieran1990able]

Sorry i didn't understand the drawing. :(

[@fordisonsjournal]

Thank you :)

[@ashenafizenebe6135]

tnx sir

[@TheSwiftScript]

Thank you!

[@thomasmcgurk3235]

thankyou

[@yoyo3djoyentertainment202]

hye sir

[@existentialrap521]

thats wassup dawg on god

[@bubbletea8793]

ty :D

[@figarofreeman1385]

thank you bruv

[@echessbee]

Brilliant

[@vedantpatil3535]

I didn't understand anything 😭😭😭

[@komalkhetlani3416]

Thanks :)

[@fatawuabdul-razak8503]

convenient