Probability Distribution Functions (PMF, PDF, CDF)

See all my videos at www.zstatistics.com/videos
0:00 Intro
0:43 Terminology defined
DISCRETE VARIABLE:
2:24 Probability Mass Function (PMF)
3:31 Cumulative Distribution Function (CDF) - discrete
CONTINUOUS VARIABLE:
7:00 Probability Density Function (PDF)
8:54 Cumulative Distribution Function (CDF) - continuous

[@talos5750]

"you cant roll a 7 on any dice I've seen" I see someone who has never played D&D before . Thank for the video btw.

[@zedstatistics]

haha. No d20s in my games cupboard, unfortunately.

[@CarlosRuiz-xe1dm]

First thing I thought too! LOL

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I thought that instantly

[@kamilnowak4329]

What's funny is that on this exact moment of the video I thought exactly the same, went to the comment section to write it and I see that's its already there haha

[@justastream8522]

@@kamilnowak4329 You perfectly described what just happened to me! Ok back to the video now.

[@garagelifestyle]

bloody rippa mate. you really got the knack of explaining rather than just telling.

[@zedstatistics]

ridgy didge feedback right here^^

[@itsZybn]

My first month of Prob. and Stat. lectures and these concepts were still lost on me. I now feel such a wave of understanding that the euphoria can hardly be contained. Thank you!

[@dattadalvi151]

Everything in this video is perfect Examples : we can easily imagine Video : perfect Voice :not having high pitch Everything is amazing

[@azanwaqar9770]

One of the best explanation of PDF, CDF, PMF across KZbin. Your channel is so underrated. This video deserves million views.

[@zedstatistics]

Oh but it's worth it just for this one view. Thanks Azan!

[@moushumipardesi]

@@zedstatistics Love how humble you are; read your papers on biostatistics the other day. Not that I understand all (or much) of it, but massive respect and great channel! Much love. Please make many more videos!

[@agape13]

soooo true

[@arminhakimi5758]

Can u explain to me, where did he fine all those number out of 1/6 probability pl?

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This video now has one million views!!

[@saurabhsinghai4809]

I have just watched half the video and can't hold myself back from Thanking you for putting a video with such a clear explanation. I had watched 7-8 videos on You Tube before I found this..Simply Superb

[@sihanguo2673]

I think your ability to explain this concept in such a succinct and clear way really speaks volumes about your grasp on the concepts - it's just as they say; you don't understand a concept until you can explain it really well to someone else. super helpful video!!

[@Music-yx9uv]

Clearest explanation I've encountered so far! Thank you!

[@shreyatrivedi3313]

Can't believe 16 minutes back I was struggling with this topic. Thank you for this great lecture! It was so easy to follow. This was my first video on this channel and I didn't even give a second thought and just subscribed.

[@handler654]

You precede me by 3 months. You were stuck 3 months back where I was 16 minutes ago. And in spite of this being the only video I have watched, I too subscribed to the channel, with no second thoughts.

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You precede me by a year and I share the same sentiments. I, too, will now subscribe.

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lol. me too. now i gotta find differentiation and integration examples though

[@pravinmadheswaran2935]

I have been through almost 10 videos to understand the y-axis of a pdf and this nailed it!

[@fmtuby]

well done mate! very few people have art of explaining things perfectly (method, pitch voice, pace, graphics and more) and of course it comes naturally. You are one of them. keep it up!!

[@brewtalxxx]

So grateful for your videos. Your teaching style is so natural and suitable for 'stats idiots' like me :) I'm probably the one who's always raising her hand to ask a question but the teacher ignores/misses my raised hand. Most stats videos I've watched assume the viewer understands everything then jumps to the next level. But you actually take the time to make sure your point is understood before moving on. Thank you so much for your superb teaching!

[@richardgordon]

I’ve been viewing a lot of stats videos on KZbin and there are a lot of very talented teachers that can explain this tricky subject. But, this channel is the very best of the best!

[@Bill-xv9mz]

I have to say; I've had professors throw around the terms PDF, PMF and CDF in class. While I understood that PMF referred to discrete functions and PDF to continuous functions, I never really understood the relationship to CDF until watching this video. Thank you so much, this was excellently done.

[@Wisam_Saleem]

Such a great and easy going explanation.. go on, please.

[@daniyalshafiq3741]

Classic way of presenting and teaching. Absolutely loved it.

[@zacharyolson8707]

Holy crap this is perfect. Thank you so much. Once I hit this point in statistics, I have felt lost. The more videos covering this type of stuff, the better!

[@andrewkulidjian1618]

Thank you so much mate! Like you said, very intuitive. This style of teaching really works for me!

[@harshivchhabra4180]

that transition from stats to calculus was super smooth and intuitive. Z, we NEED a calculus tutorial from you. It would make school SO much easier.

[@plumSlayer]

You shud refer to Professor Leonard

[@nicholflowers2077]

Finally! Someone who has explained these concepts in a way that makes sense. Thank you!!

[@sanjanakomateswar5216]

Hey man, I would like to take a minute to thank you for your videos. They are so clearly explained, to the point explained in short videos. Really helped in gaining a good grasp of the concepts intuitively and please continue this work of helping students like me.

[@fatimazohrabechlaghem7680]

You are what the kind of professors I aspire to be. Super clear, thank you!

[@myweg7806]

You are doing a great service to those who got lost in understanding statistics. Keep up the good work.

[@mbaa8352]

Had to write a comment to thank you for this video, we covered this in my first year stats unit, and the lecturer has delivered the entire content of this part of the unit almost entirely in maths notation and mathematical definitions that left me puzzled and wondering whether I had registered for the wrong class, in the 16 minutes from your video I understand the content far better then I did after watching hours of lectures on the exact same topic

[@aryazz]

I have been searching for hours and I am so glad I found your video. Best explanation of PDF, PMF and CDF hands down.

[@nikhilsharma1106]

This is probably the best explanation of PMF, PDF and CDF on youtube. Thanks a lot.

[@28paulacastro]

Thank you for making this video! The best I’ve seen on PDF, CDF. That last bit was pure gold 👏

[@necosupr]

I don't even study or use this stuff anymore but the way you put it is just so satisfying to see

[@ericksonesto3538]

I have subscribed! There is coherence, clarity and fluency. Everything in this video works together for the betterment of your resource. Thank you! I suggest for a video giving real-life examples and situations that will further explain the topic. By the way, I love your introduction stating that it is more intuitive.

[@ppascasl]

Thank you!! I really needed it for an article called Predicting the Probability of Correct Classification, it's unbelievable how you explain these concepts in an easy way!

[@anshulchaurasia9326]

The explanation is an "Art", You are the "Artist". No one can explain better than this. Thanks for saving my time going here and there, did a lot.

[@Hasbull99]

You're the first youtuber i saw create a section on the video progress bar and it looks neat.Keep up the good works 💪🏽💪🏽💪🏽

[@sergiorios987]

wow one of the best videos I ever have seen. Thank you for taking the time to explain to us.

[@samahsamiee9659]

This is beautiful, honestly. Thank you soo much.

[@moimzi1310]

These videos are so helpful! You truly make learning this material intuitive! Thank you so much!

[@Jack_Omush]

Thank you so much, I have struggled all the way in my undergrad to understand the difference between a c.d.f and p.d.f, no one could explain it to me better. This is perfect, just as I am starting my Ms.

[@marknguyen2642]

You definitely saved my life. The objective of teaching is making learners easily understand the content and your videos do a very good job. Thank you and hope you have more representative and informative videos like this.

[@ayeshawaheed8791]

You put everything so nicely. I have studied the same concepts multiple times but never have I ever actually understood them. Thank you

[@ABSP5766]

Finally I understand this! And it seems pretty simple, when someone explains it well. Thank you.

[@icuteffu]

Thanks for the videos! I'm about to start a master's this year and the videos have been helpful to refresh and gain a deeper understanding of stats!

[@itsgamz3693]

What a GREAT intuitive explanation of distribution functions! I can tell your videos will come in useful throughout my Probability course! (and statistics course once that comes along) :)

[@abiramimuthu6199]

you are awesome man. I am learning datascience and i just can't explain how much your videos are helping me. Being from a computer science background i have no idea towards statistics and your explanations were tooo goood, just going to recommend to all my fellow datascience folks who are struggling in the area of stats. Thank you

[@joa0plus1]

Thank you so much for such a clear and straightforward explanation. The graphs were very well done. This cleared up my confusion between PDF and CDF.

[@FrancisBaconthe3rd]

Thank you! I'm taking mathematical statistics right now and were covering CDF and PDF using differentiation and integration and I finally understand. Thanks again!!!

[@GrisKatya]

First I would like I would like to congratulate you on an excellent series of stats videos. You have a talent of presenting difficult concepts in a simple way and demonstrate that stats is not boring, but exciting method of data exploration. I teach stats at graduate level for biomedical programs. You lectures helped me to structure my courses to capitalize on intuition and understanding. I highly recommend your lectures for students and professors alike at any level . Best of luck

[@just_mudit]

That's why you're special, providing us with all that intuitive sense of statistics which other internet and college sources lack.

[@Sbie753]

life saver!! explains the concepts really well with visual representations. Thank you.

[@phamuyen5846]

subscribed immediately. You're the best, thank you so much.

[@lonerinthecorner1839]

Thank you so much, I've been trying to understand this concepts for the longest time!

[@gayatrikunte4003]

Thank you for such a well-explained video! Really helps understand the concept with ease and clarity! Thanks!

[@leemedicina]

Why don't this channel have more subscribers?! This is the best statistic video I've ever watched on ytb. It cleared my doubts halfway through the video. Thank you so much for this. You're really good at explaining things easily and clearly.

[@zedstatistics]

Spread the word, PL. It's the little channel that could.

[@SlinGaPop]

have to say you explain stats concepts really well. very easy and intuitive to understand.

[@jhuneaguiba3636]

thank you so much for your videos! i have to do 4 stats units at uni and i'm on my 2nd so far. your videos helped me revised what i have learnt, thank you and keep up the great work. I wish you were my lecturer

[@jaidyny2420]

Thank you so much! This video explained PDF and CDF so clearly, I was struggling to understand the graphical relationship and you explained it so well!!!

[@matheusferreira8941]

YOU ARE JUST THE BEST AT EXPLAINING THIS! Please continue!

[@seancarlyle2925]

I've been learning this for weeks and you explained it to me way better in like 10 min

[@tugbars4690]

by far, best explanation of PMF PDF and CDF on youtube.

[@mumalrathore2972]

This was my first lecture related to stats and maths in which I dind't get bore. You just took the video to a whole another level of interest. God, the music itself was so interesting!!

[@user-im8ei6lq2o]

One of the best videos till now I've come across on PDFs!

[@pauljohncapote7541]

I'm about to take the qualifying exam in PhD and your's is a substantial help. Thanks

[@devangvinci7990]

Amazing, superb, very good, excellent explanation. He teaches first intuition behind the pdf, pmf, and cdf, then teaches how the formula is working. You have explained very patiently that almost everyone would be able to keep up with what you are teaching

[@duykhuong7720]

Something in your video made me focus more while learning. Thanks!

[@sankimalu]

Absolutely adore your videos, especially the series on distributions. I’m sure these are in the works, but could you do videos on the Geometric, Beta, Gamma, Weibull, Pareto, Logistic, and their inverses of those that have them? Really get into the guts of each...

[@zedstatistics]

got much planned this year! Hope to get to these but they do take a while :) Have got this comment screenshotted and will give you a shout out when I hit the whole Beta-Gamma functions :)

[@sureshapte7674]

beautifully explained, keep going on all statistical concepts

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Very nice and simple explanation that just hits the nail on the head!!!

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Oh wow these videos alleviated so much anxiety! Thank youuu

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Statistics makes so much sense when you explain..thank you! Please could you do a video on Limits especially the Central limit therom?

[@clemlee4641]

you cleared my confusion and i just can't thank you enough!!

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Wow...!! This is great. This video helped me sort out so many confusions and put everything into perspective. Thank you for this simple yet valuable video.

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Such a helpful video. Great job giving the details and explaining everything thoroughly.

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Great videos to help me pick up the basic concepts of statistics! Thank you very much！

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Amazing!! As smoothly and simply explained as possible

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Thanks a lot man. I have paid a lot for a Data Science course and the quality of statistics content you deliver is much more higher than them.

[@at18]

OMG SUCH AN AMAZING VIDEO!! Thank you so much and please keep making videos! I have just found your channel and these topic seem so easy now!😍

[@aarushisharma7597]

thank you so much for the wonderful explanation, the visuals sure made the concept easier to understand

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Lovely lovely explanation. Amazing! God Bless!

[@Thorenhard]

oh lord. this video put me on the right track, I suddenly understood so much more. thanks!

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You are the god of simplifying things. Thanks a lot! May you get everything you wish for . And keep helping us this way. :)

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perfect! finally videos on this topic that are easy to understand!

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I'm in love with this video. Thank you so much.

[@enthusiasticsimple901]

Amazing tutorial! Got the concepts cleared, keep making videos ♥️🙌

[@observever7808]

Didn't cover as much as I thought, but still a very effective video for basic. Clear cut and understandable!

[@rivejeagar8650]

thank god you were there! I was almost halfway through my portions suddenly in book they used PDF achronym dk what they were refering. First few min through your vid my doubt got cleared. thankyou

[@muhannadobeidat]

Should get a million likes, best description of those three from math and graph perspective.

[@gurleendhillon5202]

You helped me understand a 1000x more than my professor ever could. Thank you so much.

[@amyrfrancisco7646]

I was so confused with what the y-axis on the PDF represents. This video helped me a lot. Thanks!

[@priyamraj98169]

Most detailed and explained lecture I have seen . Big ups

[@shmkrar1153]

Thanks for the video. I was looking up PDFs to understand Maxwell's velocity distribution & this really helped!

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Really helpful! appreciate for distinguishing those buzzing term with clear graph

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Thank you so much for this precise yet concise explanation. It was really helpful!

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I am not from mathematics background. this video beautifully simplified such a complicated issue. thanks. God bless you

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Your explanation is absolutely perfect!

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Thank you so much! You explain in an intuitive way the importance of the accumulative fct!

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it is the best one i found one youtube so far and hope to find more on related topics

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Your explanation was really interesting and more understandable... and I got an cristal clear idea about this topic instantly.. Thank you so much 🔥🔥🔥

[@aminurrahmanashik2786]

Pretty much intuition I got from this amazing video. Thanks

[@davidnatingga3760]

Thank you, Justin, very much for these video series on the distributions. You are my favorite Statistics channel! Can you, please, make a video on Gumbel (Generalized Extreme Value) distribution?

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Definitely worth to subscribe! Thank you so much.

[@HerndonInvests]

This was explained better than my masters and its free!! Unbelivable! Thank you