PMF of a Function of a Random Variable

Рет қаралды 187,505

10 жыл бұрын

MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
View the complete course: ocw.mit.edu/6-041SCF13
Instructor: Katie Szeto
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Пікірлер: 88

@paesanng 8 жыл бұрын

You're very good at explaining things. Thank you very much.

@barnabaskim9327 7 жыл бұрын

My professor should be paying you for these videos.

@geraldbamundaga7111 2 жыл бұрын

Excellent explanation. Your explanation for function of a random variable is the best one I have seen so far. Your students are blessed to have. Please post more probability Videos because probability is not very well explained by a lot of professors making concepts in probability theory even more confusing. Thanks once again. God bless. you.

@maheshwarbanuk4389 4 жыл бұрын

Finally, I found the tutorial and teacher I was searching for! great explanation!!

@rationalthinker9612 Жыл бұрын

Thank God for this video. My professor is beyond incompetent at explaining this topic and my textbook glosses over it without showing the underlying principle. I should have went to MIT for my EE degree.

@caribbeankpoplover 6 жыл бұрын

This was explained very clearly! Thank you ❤️

@TheAInfinity 7 жыл бұрын

Fantastic explanation. Thank you.

@leonardopetribu7207 5 жыл бұрын

Very intuitive class! Congratulations and thank you very much!

@WateryIce54321 8 жыл бұрын

Thanks! Gosh - I wish my professor liked to use small, straightforward examples instead of using the most abstract and general form possible. It's strange that application can teach theory, but not always the same way around.

@nightmare4eVerr1 8 жыл бұрын

+WateryIce54321 theories are the result of extensive expirements witnessed first hand and their 'general' behaviour noted. if you teach a student theory first, you are letting go of the process that actually led to the theories being understood. for a new-comer, teaching theory first is IMO the worst way to make someone understand. the general and abstract form is only good for someone who already knows the process. something very few instructors/books realize

@rahulpurohit2461 7 жыл бұрын

cant agree more

@howmathematicianscreatemat9226 7 жыл бұрын

@Ahmed! excellent!!! thank you so much 4 pointing that out. Intuition is what is most missed! :-) Basically what you are saying is: One cannot think abstractly without having (concrete) examples from which one can filter the most important Connections.

@B.A.Gondal 7 жыл бұрын

This!!!

@howmathematicianscreatemat9226 7 жыл бұрын

@Asymptote: Bro what you mean by "This!!!" ?

@tag_of_frank 6 жыл бұрын

Is there a better way to calculate this, such as plugging z into the pmf of x, or something similar?

@shivakannojia8963 4 жыл бұрын

One of the best explanation!

@celiusstingher9731 7 жыл бұрын

Great video although I believed you lacked the final and most important thing, how is Pz(K) written? Pz(K) = 2k/28 for values 1, 4 and 9.

@Badana_z 8 жыл бұрын

This was super helpful! Thank you so much!

@Josefk40 7 жыл бұрын

Awesome explanation. Perfect. Thank you!!

@Itsd0g333 4 жыл бұрын

This makes way more sense, i just learned more watching this video than i have the entire semester in my statistics class.... Thanks

@andrewagita901 3 жыл бұрын

so u learned nothing

@Itsd0g333 3 жыл бұрын

@@andrewagita901 correct.. Its kinda hard to learn when my professors mic kept cutting out to the point I couldn't understand but 2-3 words a sentence and he refused to articulate.

@fuqingwang1344 3 жыл бұрын

Crystal clear!

@AhmedAlbadwi 8 жыл бұрын

So nice and simple to understand ..thanks

@chenadam6339 6 жыл бұрын

simple and clear!! thank you!

@harpreetrajsingh394 4 ай бұрын

Loved the easy explanation keep up the good work 😊

@a4user1 7 жыл бұрын

Thank you, it helps me a lot.

@denizorak3556 Ай бұрын

perfect explanation. thank you

@couragelawson4737 4 жыл бұрын

Perfect explanation.....

@johndomenech5336 9 жыл бұрын

excellent, Katie. very understandable.

@yousify 9 жыл бұрын

nice explaining and very good example ..

@apitazuden 8 жыл бұрын

Very helpful. Thanks !

@12lolshow 3 жыл бұрын

thank you so much omg you snapped

@mrxinnovations809 2 жыл бұрын

Excellent video.

@maleeshapanangala4361 6 жыл бұрын

Thank you so much!❤

@teachermcholo6976 7 жыл бұрын

VERY UNDERSTANDABLE

@theevaarasanghandi1689 2 жыл бұрын

Thank you for the explanation

@angelinehadida3824 4 жыл бұрын

Nice one can you make a lecture of finding the value of constant k given the pmf please

@meher94 6 жыл бұрын

Thank you very much :)

@chyldstudios 9 ай бұрын

Well done!

@NK-iy6if 2 жыл бұрын

God Bless you! Thank you!

@mulugetatesema8023 3 жыл бұрын

so helpful.tank you so much

@reardelt 9 жыл бұрын

So what is the mapping from the sample space? I thought the professor said the random variable, for example in this case X, maps "stuff" from the sample space to the real number line of x.

@edwardbanner1117 9 жыл бұрын

Presumably, the outcomes in the sample space were used to generate the PMF we see here. So instead of starting with the sample space and then calculating the PMF for X from it, we are just given the PMF. In some sense, though, we can view the values of X as our new sample space.

@joshuamcdonald7587 7 жыл бұрын

Can anybody explain why -1 wasn't in the sum notation then a should be 29

@capoman1 7 жыл бұрын

9:00 Hey shouldn't z take on values of { (-3/28)^2, (-2/28)^2... } ???

@KuZiMeiChuan 5 жыл бұрын

The sum wouldn't equal one.

@joeljose1737 6 жыл бұрын

thankyou very much

@muhammadfaheem-qx9gb 6 жыл бұрын

thats amazing

@badboytheking400 3 жыл бұрын

nice explanation

@Ommbye 8 жыл бұрын

I 've downloaded Course materials thank you M.I.T, I wish I could donate but is not pass

@kaankutlu1414 Жыл бұрын

how to find sum of two dependent random variable pmf

@juanlynching3807 3 жыл бұрын

i learned, finally.

@badboytheking400 6 жыл бұрын

miss your explanation is out class

@xMrJanuaryx 7 жыл бұрын

Okay but how do I get the PDF of that PMF? Why do my teachers always have me doing stuff that you can't find videos on???

@kushalkanungo9749 7 жыл бұрын

A probability mass function differs from a probability density function (pdf) in that the latter is associated with continuous rather than discrete random variables; the values of the latter are not probabilities as such: a pdf must be integrated over an interval to yield a probability.

@jokerererer 6 жыл бұрын

Wikipedia

@sarcastitva 5 жыл бұрын

Nice explanation. However, while calculating PMF of Z for all k values, why k=0 is taken? Z can never take 0. 0 belongs to the set of values X can take. If we look at the set of values Z can take, it is {9, 4, 1}.

@fredoaks6375 4 жыл бұрын

She explained why: 0 would be for the "otherwise" case.

@gameradvice5057 7 жыл бұрын

02:51 you too ♥

@RishabhTheJain 6 жыл бұрын

10:03 also.

@alokrocks27 5 жыл бұрын

IF it was Z= X^2/2 instead of Z= X^2, then Z would have taken values like 1/2 and 9/2. Are these values a valid value?

@saeidakbari4788 4 жыл бұрын

Yeah, why not?

@peachy6009 3 жыл бұрын

@@saeidakbari4788 maybe he got confused because these are called discrete random variables

@tush800 3 жыл бұрын

God bless you 🙏🦃

@hafizhamza3747 3 жыл бұрын

O my GOD Where have u been since i am shitting my mind........... Great Very Great .......

@egyptianplanner Жыл бұрын

Splendid Splendid more than Splendid

@jingyiwang4931 6 жыл бұрын

Very clear~!Thank you~!

@1d0m3n30 2 жыл бұрын

The link to the complete course does not work anymore. This is the complete playlist on KZfaq: kzfaq.info/sun/PLUl4u3cNGP60A3XMwZ5sep719_nh95qOe .

@mitocw 2 жыл бұрын

Thanks for the note, we will fix the redirect. The redirect is supposed to go to: ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013/. Best wishes on your studies!

@thanhcongle6671 4 жыл бұрын

why (28/a)=1?

@abdurrashid2819 4 жыл бұрын

I need a tutorial regarding EPA-PMF software. How its run and useful for groundwater source apportionment. i need help.

@MrEnssssssssss 5 жыл бұрын

I think I'm on my PMF.

@bhavikharjani2534 6 жыл бұрын

p(x)=1/8,-4

@tarunyatrivedi2300 6 жыл бұрын

today is my exam u just saved my day ....thanks :-)

@cranberrykiddo 4 жыл бұрын

OMG I LOVE YOU LADY

@mzwakhethokozane378 5 жыл бұрын

can you predict random matrics using this concept

@babedesaleng856 7 ай бұрын

your voice😍😍😍🥰🥰🥰

@billyerickson353 5 жыл бұрын

wow

@putinsgaytwin4272 2 жыл бұрын

OMG ITS VELMA FROM SCOOBYDOO!

@Obama_OReilly 6 жыл бұрын

💗

@mycommentpwnz 8 жыл бұрын

I don't understand why Z isn't squared again. Z = X^2, so you square all of X's possible values. (Makes sense, okay.) Then, you put these possible values in the numerator above "a." (That makes sense, because X/a was what we did to make the original PMF.) Yet, then you just union them? Like, I don't understand the logic behind that? What happened to x^2 in the numerator of the original PMF? Where is the indication that (9/a ,9/a) should be summed now?

@dustinblack4144 5 жыл бұрын

Agreed. Shouldn't it remain x^2 / a? The answer should remain the same in this case, but the method wouldn't.

@theadel8591 5 жыл бұрын

Dustin Black it’s not just this case that doesn’t make sense in probability, there are a bunch of other cases where i’m trying to make logic of what i’m seeing but nature is more complex than we think 🤔