Calculating a Cumulative Distribution Function (CDF)

MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
View the complete course: ocw.mit.edu/6-0...
Instructor: Jimmy Li
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

[@ThefamousMrcroissant]

Clearly articulated, great voice to listen to and explained every step along the way. Tutorials don't get better than this

[@adrianlee2124]

Oh my god that was an amazing explanation and example. Thanks a bunch, really helped me understand all of it. I hope you make more intermediate statsistics videos.

[@wangchul]

exam in 12 hours

[@pengi6055]

mock exam in 14 hours

[@MattHew-ic4zq]

Mock exam in 1 hour :x

[@faizanbaber]

exam in 2 hours

[@combardus9309]

13 minutes

[@aldoortega4496]

10 seco

[@tbm5k]

It's 2021 and I'm using this as a source of knowledge

[@Frostasy]

This really helped me, clear voice and explanation and I was able to solve my homework problem.

[@lebulle4544]

3:06 - 3:49
This moment is key. Watch it and watch it again until you understand what he means to understand CDF's.

[@confusion3146]

still struggling to understand it:( would you explain why when x>8, F(x)= 1 and not just 0? Thanksss

[@christianaviolari9235]

@@confusion3146 did you figured it out cause I’m wondering the same thing?

[@ROCKaholic]

He's Asian, I trust him.

[@ROCKaholic]

Try looking up, I think the joke flew over your head

[@BaronofGermania]

idiot

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[@LeBashfulBadger]

lol

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i trust him with my future

[@johnoluwatobi1189]

You literally just saved my arse. I wrote my C.A test without knowing this but I found this video just in time before exam. Now I'm 3x more confident!
From 🇳🇬

[@windfind3r]

Super concise and well articulated, good refresher for my 700 level class. Thanks.

[@epg3581]

Finally a good video on how to obtain cfg from pdf

[@vcv123able]

why is it 1 at z>1?

[@13statistician13]

It's z > 1 at 1 because the CDF is accumulating the probabilities between 0 and 1. Once you reach the point 1, the total area under the curve is 1. Therefore, when you continue beyond 1, the cumulative probability is still 1 since probability is between 0 and 1.

[@user-em9mw9ch3y]

Onur hahahahaha

[@user-em9mw9ch3y]

13stat..thanx a lot.

[@shashankdixit92]

@@13statistician13 that was really helpful buddy...you just made me understand the whole topic in a paragraph

[@13statistician13]

@@shashankdixit92 anytime. Glad I could help.

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My favorite OP anime character!

[@user-se7rm9yd3q]

شكراً ساعدتني كثيراً 💎💙 thank you 🌟

[@vaibhavkhobragade9773]

He is the best TA of the MIT

[@mishalubich7141]

Well done! Finally someone who knows their stuff! (From CS 70 at UC Berkeley)

[@ken8844]

Brilliant!

[@tatyanagrossett8002]

I love you for this. I’m currently doing my test and this is help 🤣😂

[@natureshorts6657]

Super clear. Watching this as a refresher, and you totally nailed it. Great video.

[@tlhomotsemoteme2423]

Awesome, you've scored yourself a subscriber!

[@Pain420]

I wish you were my professor, honestly. Couldn't be clearer.

[@yashii5903]

Good explanation Mr.Lee I finally understood it💜

[@Stewie_official]

you are the best❤️

[@simplym764]

a teacher i never had

[@skinnywraith]

ty this is neat and clear even in 2021

[@saja6683]

your voice is so clear i understand everything. thank you it was helpfull.

[@gaoyutailang]

thank you!! really helpful and you offered very clear explanation!

[@poojapaulchaudhury7044]

Thank you!!
That really helped

[@stefanosanastasi99]

pooja what is this behaivour?

[@raichu56k]

good explanation thanks

[@colanader]

very clear and concise explanation. Thanks!

[@k-poplover7484]

Nice voice , It matches the professor personality ,good ,Started to love stastics

[@user-ck9fd8qm7x]

awesome explanation

[@lauracorrea1126]

He has an amazing voice

[@BoutinMathieu]

You are a very good teach, you speak very well in your video. Thanks a lot!!

[@sudipnext]

Very Clear Explanation, Thank You

[@codemathlab]

Helped me a lot.

[@pnh505]

how were you able to turn -2

[@TheAugustinePark]

Sam Flatau I think it's from the fact that for a continuous random variable Z, -2

[@kentontison8646]

Thank you!

[@rishabhnarula1999]

thanks sir, great teaching.

[@ArifFahmiChannel]

thanksss its very helpful

[@georgesadler7830]

Thank you for the video.

[@iosifpuha6114]

what about when we have more intervals in the PDF?

[@ammadurrahman5321]

Thanks.. very much sir,... Complex phenomena in simple way......

[@amiryusuf3791]

THAN YOUUUU VERY MUCH

[@DeadlierThanEver]

great video

[@adityabhadoriya3191]

Thank you so much for this video.Great voice,clear concept. thanks once again. :)

[@xCheeseHead95x]

I would pay you double my tuition to replace my teacher who can't even speak english.

[@sophiesam7392]

You are a good teacher

[@kirbyurner]

Note that gamma is a scalar constant, not a function. Math notation can be ambiguous.

[@jacoboribilik3253]

the gamma function is represented with a capital gamma, at the beginning of the video I thought it was the number gamma 0.577....

[@lachatre82]

Nice, Thanks it was very clear to understand !

[@corynllamoza42]

Thank you very, very much!!
ps: loooove your voice☺️

[@gnomewesely]

Thank you so much, you were amazing, you've helped me a lot!!

[@navee9470]

Extremely helpful. Thanks so much!

[@Dutta1605]

Greeting! I m not be too smart to understand when you started doing 'b' part, specifically when you said taking everything on the left side, could you share bit more highlight between Z and z and intrgration of fz(y)dy.

[@ethanc.3625]

Very helpful and easy to understand!

[@AJ-et3vf]

Great video sir. Thank you!

[@dharamkapoor9235]

excellent video, thank you

[@The13mahfuz]

I think CDF does not contained closed limits from both sides in every cases(Discrete and continuous both) explain it.

[@MrSuperrdad]

That was really awesome!!!

[@samuelgbortsyo7112]

Thank you sir,I just got it

[@user-xs1ie1ki4q]

It helps me a lot, THANK U!!!

[@danielpapangelis9740]

helps heaps thanks man

[@vadlavamsi9438]

how CDF in 3 ranges moreover z>1 how it become 1, please anyone make my doubt clear. thanks

[@henri1_96]

CDF stands for "cumulative distribution function". Therefore, at z = 1 it has reached 100%.

[@x-y9090_]

life saver

[@discodino3873]

Thanks

[@harshbhavsar7396]

Just awesome was soooo helpful video to me

[@k95channel]

Thank you very much

[@bozhang5482]

How about moving the z=1 situation to the third case? i.e.: 0, if z

[@hounamao7140]

Love that guy

[@ravijaiswal4161]

nice explanation

[@dennisomarcoz8320]

Hello Sir i request you to repeat on how you are coming up with those limits on the final answer ,kindly

[@confusion3146]

yeh idk either help, and also why is the F(x)= 1 when x>8? why isn't it 0 too?

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i agree

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totally agreed

[@antzvasi8781]

Thanks...this was good!!!

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Thanks a lot.. you the best

[@sihanchen8850]

Excellent !!!

[@randydiaz9537]

great video!!

[@goldfishyzaza5770]

Perrrrfect! Thank you!

[@sekhantsho2]

so helpful thank you

[@cabq]

Thanks a lot!

[@ihatecheez123]

So helpful!! thank you

[@mrboredomfighter]

Thank you so much! Saved me ! :D

[@md.sadequlalamsiam9687]

THANKS A LOT BRO
!

[@singhman1026]

thanks........... nice work

[@andreavaltulini6997]

So helpful!

[@nithinbharadwaj.d3696]

Thanks so much bro!!

[@everydaynewchallenge2927]

Why you said at the end that if Z>1 the CDF = 1 ??

[@fabiangutierrez1300]

THANK YOU!

[@Vawkstar]

Very helpful thanks

[@sb-hf7tw]

There must be -2 ≤ z < -1 and 1 ≤ z
in place of 1

[@CSoliz-cy4fj]

Thanks!

[@Angelica-tm5jj]

very clear ，thx😀

[@picswithnate6970]

that was really good!!!!!

[@caitlynlim]

Thanks so much!!!!

[@allthingsfinancepodcast]

why is cdf=1 for z>1 ?

[@Inamullahkhan6294]

Thanks for excellent video.
I have one question. If we are given CDF and we are asked to find mean and median. Than what we should do. we should convert into pdf to find mean median formula or is there any way to find directly from CDF it self.Thanks

[@ryanchiang9587]

calculus is function.

[@gorgeousmarfo8411]

I can’t see what you’ve written

[@benhickmott7910]

savior

[@matthewtsang6875]

really helpful thx!

[@saugatnepal5956]

Love it

[@SaqibAlikhantanoli]

Why CDF is 1 when Z > 1 @7.33 ?