Statistics 101: Uniform Probability Distributions

แชร์
ฝัง
  • เผยแพร่เมื่อ 15 ธ.ค. 2024

ความคิดเห็น • 164

  • @90sbaby4eva
    @90sbaby4eva 4 ปีที่แล้ว +9

    Man, I wish I had more teachers like you in my educational career! You are the real deal, sir.

  • @98nana98
    @98nana98 7 ปีที่แล้ว +20

    your opener really just made me cry, so thank u so much for putting it in. I really needed that :')

  • @ZaraOver
    @ZaraOver 11 ปีที่แล้ว +50

    You're great. I'm studying at one of the top universities worldwide and I got nothing close to this out of the lecturers. That's what happens, they are too snobby to teach properly.

    • @BrandonFoltz
      @BrandonFoltz  11 ปีที่แล้ว +15

      Oh thank you Artian! Sorry your experiences are poor at your university. In defense of your lecturers, good teaching is not always valued over the research function and is rewarded accordingly. So they can be in a tough position. But anyway I am very glad you find the videos helpful and I look forward to making more for you! All the best, B.

    • @specialchromebook2045
      @specialchromebook2045 4 ปีที่แล้ว +1

      Which university are/were you studying at?

  • @BrandonFoltz
    @BrandonFoltz  11 ปีที่แล้ว +1

    Hello and thank you for the question! The easy truth is that the "12" is built in to the uniform distribution variance formula. It is a given. I'm sure I could reverse engineer the derivation somehow but for now I will enjoy the rare occasion in statistics when something us just given to us. :) All the best, B.

  • @mekablizzard-robinson7643
    @mekablizzard-robinson7643 10 ปีที่แล้ว +2

    Thank you sooooo much! I am taking online statistics and I am in week 4. This is the first week I had trouble understanding, and my book was no help. You are awesome! Please keep providing this service. My College Math professor was like you and that's how I got an A. She broke everything down and was an amazing professor. You're an amazing teacher also, so thank you again.

  • @melissahoffmans3948
    @melissahoffmans3948 11 ปีที่แล้ว +1

    Your videos are extremely helpful. The pace in which you teach the subject matter is perfect. Thank you so much! You will be a reference I will continue to use.

  • @rp.miranda
    @rp.miranda 4 ปีที่แล้ว

    For me, it is the best tutorial for statistics specially to those who are taking statistics for the first time, and for those students who have the understanding using geometric figure.

  • @araya_kalapuk
    @araya_kalapuk 10 ปีที่แล้ว +1

    My teacher spent half a term talking about this and I didn't get a thing from that class. I love your video so much and you've definitely saved my life!

  • @RexBanner_
    @RexBanner_ 11 ปีที่แล้ว

    Thumbs up for the positive reinforcements in your video.
    "Believe in yourself... You can do it."

  • @jeskow19
    @jeskow19 4 ปีที่แล้ว

    This was the best explanation as to why the probability of any one specific value in a continuous distribution is zero I have ever heard.

  • @rezat.ashtiani1338
    @rezat.ashtiani1338 2 ปีที่แล้ว +2

    The level of details is amazing

  • @BrandonFoltz
    @BrandonFoltz  11 ปีที่แล้ว

    Hi Rachel! Thank you so much for your nice comment. I am sure your instructor means well but having been there myself, I know we often get pulled in many directions at once. :) I am just trying to light the path, students like yourself actually have to do the walking. Keep learning! All the best, B.

  • @tampaflorida33610
    @tampaflorida33610 8 ปีที่แล้ว +1

    Great Job, May Allah bless you and grant you success in this life and the hereafter !

  • @jay851038
    @jay851038 7 ปีที่แล้ว +2

    Thank you so much, Brandon! You literally saved my life! As I am studying for the CFA, watched other videos and tried to read the book and still made ZERO sense to me. After watching this lesson it clicked! Your motivational words to stay positive and keep our heads up sure helped me not to give up!

    • @BrandonFoltz
      @BrandonFoltz  7 ปีที่แล้ว +1

      You are very welcome! Stay positive knowing the road is always full of ups and downs. Just keep moving forward and keep on learning.

  • @adrianlibert9682
    @adrianlibert9682 7 ปีที่แล้ว

    Thank you for do this video and the others. You've managed to do in 30 minutes what my professor hasn't been able to achieve in weeks. Again, many, many thanks.

  • @carloscarvalho9025
    @carloscarvalho9025 10 ปีที่แล้ว +1

    Superb, now I understand between uniform or discrete and continuous probabilities.
    You are great.
    Thank you Brandon.

  • @Surya42930
    @Surya42930 11 ปีที่แล้ว

    Hi Brandon...This is me again. I have become a fan of yours Brandon...You are absolutely spot on with your visual explanations..God Bless You for taking effort and time in doing these videos..Thanking you wholeheartedly!!!

  • @tanfelder3262
    @tanfelder3262 9 ปีที่แล้ว

    Thank you for this video, but more so for the encouragement. I am 4 classes away from completing my Masters and I get this curve ball for an applied stats class. Frustrated and discouraged is an understatement. I feel a bit relieved after these series of videos. I hope to continue to be able to apply your knowledge to the success of my course. Thanks again

  • @elrey97
    @elrey97 11 ปีที่แล้ว

    honestly your the best my professor makes no sense but this is so easily digestible I understand it so much better now thank you

  • @gauriishu
    @gauriishu 5 ปีที่แล้ว

    Thank you for your patience in teaching! Never understood this concept more clearly before. Finally understood now crystal clear.

  • @bolt1903
    @bolt1903 11 ปีที่แล้ว

    Excellent presentation there, Mr. Foltz! Very thorough with easy to follow visuals. Thanks for putting this up on TH-cam.

  • @RaghavKovvuri
    @RaghavKovvuri 9 ปีที่แล้ว +1

    Really got it...i fed up with my lecturer.....thank u so much sir.....

  • @mikeguastaferri4943
    @mikeguastaferri4943 10 ปีที่แล้ว

    Brandon,thanks for doing this video. I was grinding out the calculations without any clarity and no enjoyment, but after watching your video on the uniform probability destination, I came away with,at least an inkling, for what a powerful conceptual tool, it could be. Now instead of arbitrary, the normalcdf function on my calculator actually seems pretty cool !

  • @CASTILBLANCO
    @CASTILBLANCO 8 ปีที่แล้ว +3

    you Sir just helped me get an A, I can't thank you enough

  • @kahanbhalani3607
    @kahanbhalani3607 3 ปีที่แล้ว

    Learning about Continuous Distribution has never been such easy. Thank you so much. 😀

  • @nicholasdeluca4534
    @nicholasdeluca4534 8 ปีที่แล้ว +1

    Hey just wanted to say good job and thank you for making this video. It was a lot of help and I really liked how you went through multiple questions to help clarify the material.

  • @afwoman2001
    @afwoman2001 11 ปีที่แล้ว

    That was absolutely amazing. Didn't understand it at all with my instructor but now I get it!!! I subscribed and will be definitely be watching more. Thanks so much.

  • @PittuS79
    @PittuS79 6 ปีที่แล้ว

    Thank you Brandon for such detailed explanations and taking time to explain every concept precisely. Please keep posting your videos. You are of lot of help.

  • @joseph10137
    @joseph10137 10 ปีที่แล้ว +3

    hello i am Joseph i am in Grade 9 and 15 years of age, Thank you bro really liked the video i really needed help in understanding this, this would also help me because i want to become and engineer , i also have problems in understanding the chemistry and statistics and keen to watch your other videos :)

  • @annarosecatalansercado4407
    @annarosecatalansercado4407 4 ปีที่แล้ว

    The introductions makes me react like "Ooooff! WOW!". I guess, I really need that motivation~! With that, thank you!

  • @zaynabkatima76
    @zaynabkatima76 10 ปีที่แล้ว +1

    great.... i wish i saw this since the beginning of the statistics course!!! THANK YOU

  • @tamichock4692
    @tamichock4692 6 ปีที่แล้ว

    Its a good day when I can finally understand statistics!! I am so glad to have found your channel Brandon! Watching all your playlists and hoping to bring my grade back up.

  • @hemantsharma17
    @hemantsharma17 2 ปีที่แล้ว

    Absolutely Brilliant Professor !!! Thanks so much !!!

  • @safaasonbol8034
    @safaasonbol8034 9 ปีที่แล้ว

    I watched couple videos. I liked them. I will watch all you statistics videos.

  • @karinazamorategui8272
    @karinazamorategui8272 7 ปีที่แล้ว

    Thank you, Brandon! Applause!!!
    I hope to find more of your videos during my studies!

  • @sebastian7424
    @sebastian7424 6 ปีที่แล้ว

    This video just helped me figure this section out. I've been stumped for the last week.

  • @alishabbir8963
    @alishabbir8963 10 ปีที่แล้ว +2

    Thanks for the help, my professor doesn't teach well and actually puts up links to your videos in out class lectures.

  • @ericapuckett5856
    @ericapuckett5856 11 ปีที่แล้ว

    Thank you so much for all of your help. Your videos have helped me tremendously.

  • @priyanshipal9077
    @priyanshipal9077 4 ปีที่แล้ว

    Very helpful and clear explanation. Thank you for making this!

  • @thomasgarcia1073
    @thomasgarcia1073 9 ปีที่แล้ว

    Great Video!!!! Helped me understand so much better and I love how positive you are! I'll keep watching!

  • @jessicat8838
    @jessicat8838 7 ปีที่แล้ว

    OMG I LOVE This guy!!! you just explained something that took me for ever to google. THANK YOU

  • @laraibansari7953
    @laraibansari7953 3 ปีที่แล้ว

    Thank you, Brandon, this video is very informative!!!!

  • @fayazhussain5547
    @fayazhussain5547 5 ปีที่แล้ว

    you have made it easy to understand....thanks

  • @CODINC
    @CODINC 6 ปีที่แล้ว +1

    Amazing!!! Can you also explain other continuous probabilities and Generating Functions with Continuous Probabilities?

  • @caitriggs
    @caitriggs 7 ปีที่แล้ว +17

    What's the idea of dividing by 12 for the variance of a uniform distribution? I understand the variance for a population is found by dividing by n number of data points (or n-1 for a sample), and since you can't meaningfully divide a continuous uniform distribution by infinite data points, you would take a continuous sum (or the integral) of the difference between a and b. But why 12 for a uniform distribution? Is that just how the integral simplifies down?

    • @user_sa1997
      @user_sa1997 7 ปีที่แล้ว +2

      i have the same question

    • @helenkirby6151
      @helenkirby6151 7 ปีที่แล้ว +1

      Thanks Konstantinos that was quite mind blowing! I too left off variance at ((x-mu)^2)/N or (n-1). Well whaddo ya know.

    • @helenkirby6151
      @helenkirby6151 7 ปีที่แล้ว +4

      OK, Got it - there is a different equation for the variance for each different distribution. The one with the mysterious 12 in the denominator is specifically for the Uniform Prob. Dist. I just looked up the equation for variance for the normal distribution - now that's really mind blowing!

    • @MdAbdullahAlMuyid_nowho
      @MdAbdullahAlMuyid_nowho 6 ปีที่แล้ว

      @Konstantinos Antoniou, Thanks a lot :)

  • @rakeshsekar3840
    @rakeshsekar3840 4 ปีที่แล้ว

    You're are really fantastic .... Neatly explained thank you very much

  • @massivejester
    @massivejester 9 ปีที่แล้ว

    Another great video, love it! Everything is crystal clear!

  • @Gong14921
    @Gong14921 6 ปีที่แล้ว

    This video was fantastic!! And you set yourself apart by adding the motivation :) Thank you.

  • @shivamtomar8312
    @shivamtomar8312 7 ปีที่แล้ว

    awesome sir thank you very much it become very easy to understand the distribution taught by you

  • @nawafalrasheed109
    @nawafalrasheed109 4 ปีที่แล้ว

    Brandon, you are amazing.

  • @BrandonFoltz
    @BrandonFoltz  11 ปีที่แล้ว

    Thank you Marcus!

  • @ShankyTheBaa
    @ShankyTheBaa 7 ปีที่แล้ว

    you are a savior of my life....

  • @rajchaudhary8814
    @rajchaudhary8814 6 ปีที่แล้ว

    love the way u teach thanks a lot

  • @yodudeanson
    @yodudeanson 9 ปีที่แล้ว

    Thank you kind sir ..Your lessons are great.

  • @ylazerson
    @ylazerson 6 ปีที่แล้ว

    You are an awesome teacher!

  • @celesteserralta908
    @celesteserralta908 11 ปีที่แล้ว

    Great job explaining. Thank you!

  • @sidrahasan8932
    @sidrahasan8932 11 ปีที่แล้ว

    Wow terrific lesson, articulated very well! This helped clear up many things :)

  • @mlpreiss
    @mlpreiss 4 ปีที่แล้ว

    Brandon, I'm studying for my 6 Six Sigma Green Belt. There's so much information that needs to be covered that the teacher can't do justice to any particular topic, so a lot of the "why" is left out. Also, I know he's teaching to the test. The class doesn't need to know why something is the way it is, it just needs to know how to structure and solve problems to pass the exam.
    I like to know "why", so I'm using your videos as an adjunct to my 6 Sigma videos. I have a question about the bus example you provide. Technically, wouldn't this be a continuous probability distribution? Even though there are ten one-minute intervals, you can break up those intervals into infinitely smaller intervals. The odds against the driver arriving exactly at 11:27 or 11:33 are pretty high, so it would happen fairly rarely. Or is my thinking not quite right?
    One more question: I've been trying to figure out in what order to view your videos to make it appear as if I'm taking a class. Is there a way I can do that? Thanks.

  • @meghansmith2010
    @meghansmith2010 10 ปีที่แล้ว +1

    Yet again a great video

  • @prashantkeshri5230
    @prashantkeshri5230 10 ปีที่แล้ว

    Videos are great but can you please share your PPTs for future reference and revision. And can you suggest something for practicing or can you please add some problems related to the topic with solutions. Thanks for great effort and really very helpful videos.

  • @saimarashid934
    @saimarashid934 9 ปีที่แล้ว

    Thank you so much for the videos, they are all very helpful.

  • @MaggieNYeudis2014
    @MaggieNYeudis2014 6 ปีที่แล้ว

    Thank you for your videos, they are a great help.

  • @keynaud0828
    @keynaud0828 8 ปีที่แล้ว +1

    thank you for your encouragement!!!! you're awesome!!!

  • @antonioalejos899
    @antonioalejos899 9 ปีที่แล้ว

    please continue making such videos. I did loose you on some steps. you talked about x2-x1/b-a.

  • @kimberlydillard4808
    @kimberlydillard4808 9 ปีที่แล้ว +1

    Trying to understand why when you listed bus arrival times on the x-axis they end at 11:34 rather than 11:35? I'm sooo confused :(

    • @sabrinakathleen26
      @sabrinakathleen26 ปีที่แล้ว

      bus arrives between 11:25 and 11:35. so you can just subtract 35 and 25, then you get 10. and that's the bus arrival time in 1 minute time spans

  • @nfedaniel105
    @nfedaniel105 10 ปีที่แล้ว +2

    Really nice video! Helped me alot, thanks!

    • @BrandonFoltz
      @BrandonFoltz  10 ปีที่แล้ว +1

      Drake Shred Thanks Drake! Glad to have helped. Hang in there. Best, B.

  • @ichigo2911
    @ichigo2911 ปีที่แล้ว

    Your "don't freak out" comments are actually quite comforting lol

  • @albandryalqaseemi307
    @albandryalqaseemi307 7 ปีที่แล้ว

    Great explanation, Thank you.

  • @BrandonFoltz
    @BrandonFoltz  11 ปีที่แล้ว

    Oh thank you so much!

  • @mathteacher2651
    @mathteacher2651 7 ปีที่แล้ว

    Another excellent job!

  • @thatgirlliz917
    @thatgirlliz917 8 ปีที่แล้ว +1

    awesome video thank you so much!!

  • @Haneen241
    @Haneen241 11 ปีที่แล้ว

    This is very helpful! Thank you so much!

  • @parisanaraei
    @parisanaraei 10 ปีที่แล้ว

    perfect , please continue making such videos

  • @icklepay
    @icklepay 11 ปีที่แล้ว

    Thanks! A given is always good - never look a gift denominator in the mouth.

  • @aliabassi1
    @aliabassi1 11 ปีที่แล้ว

    Great video, I learned - Thanks!!

  • @juanparody9560
    @juanparody9560 10 ปีที่แล้ว

    Great video, Great motivation... Keep making videos, and keep sharing your passion for teaching =)!

  • @saraserrallongalagunas2123
    @saraserrallongalagunas2123 4 ปีที่แล้ว

    Thank you so much! This lecture was really helpful :)

  • @TheMaverickanupam
    @TheMaverickanupam 6 ปีที่แล้ว

    Great video and pep talk in the beginning, one question I have to ask. We are taking a proportion of the line segment to represent the area of the triangle. So we are saying that ratio of line 1 and line 2 is the same as the ratio of the area of rectangle A and rectangle B. Will be great if you can confirm. Thanks

  • @yogendersingh3588
    @yogendersingh3588 7 ปีที่แล้ว

    YOU are just awesome, awesome & awesome.

  • @burhanuddinabbas2006
    @burhanuddinabbas2006 7 ปีที่แล้ว

    you've just earn a new subscription

  • @yogeshpagadala3225
    @yogeshpagadala3225 7 ปีที่แล้ว

    Clear and simple

  • @destinygonzalez183
    @destinygonzalez183 9 ปีที่แล้ว

    Thank you! this video is well done.

  • @sungkuan6982
    @sungkuan6982 9 ปีที่แล้ว

    Thanks v much, excellent video

  • @carielyme
    @carielyme 11 ปีที่แล้ว

    hi! i was just wondering if its the same thing when p(x) is said to be greater or equal to (lets say for your example) 21 and less than or equal to 25? the video was extremely helpful! thank you so much... but i was just left with that tiny question

  • @rondickerson8361
    @rondickerson8361 5 ปีที่แล้ว

    Thank you for this video, the instructions in class where difficult to understand, however you seemed to explain uniform distribution in a way that I can understand. Thank you!!!

  • @allyshaw3461
    @allyshaw3461 10 ปีที่แล้ว +1

    This is great Brandon. Do you work as a lecturer?

  • @kinjalvora3352
    @kinjalvora3352 2 ปีที่แล้ว

    do we have something on Markov's or Chebyshev's inequality and other inequalities in your playlist?

  • @raffrobb
    @raffrobb 10 ปีที่แล้ว

    Is there a recommended or suggested viewing sequence for videos?
    For example, which playlist should I watch first, and in what order should the individual videos be viewed?
    Thanks,
    Robb

  • @micaellealcantara4578
    @micaellealcantara4578 3 ปีที่แล้ว

    hi, great explanation. I have a doubt: in the example of the bus, wouldn't time be a continuous variable?

  • @bhaumiknariya7181
    @bhaumiknariya7181 10 ปีที่แล้ว

    All videos are just awesome!!
    (y)

  • @KunalBajpaiKanpur
    @KunalBajpaiKanpur 10 ปีที่แล้ว +1

    Really helpful sessions.

    • @BrandonFoltz
      @BrandonFoltz  10 ปีที่แล้ว

      ***** Thank you! :)

    • @KunalBajpaiKanpur
      @KunalBajpaiKanpur 10 ปีที่แล้ว

      ***** - I think the theory sessions were at their best. I just recommend that with every playlist on a topic you could add a problem solving video for couple of word problems.

    • @harshalshinde227
      @harshalshinde227 8 ปีที่แล้ว

      +Brandon Foltz skip intro button plz!

  • @AshrafulIslam-hd2rs
    @AshrafulIslam-hd2rs 5 ปีที่แล้ว

    Very nice work :)

  • @abiralshrestha7918
    @abiralshrestha7918 9 ปีที่แล้ว

    THANKS MAN U ARE AWSOME

  • @DaStylar
    @DaStylar 11 ปีที่แล้ว

    Subbed!!! ur a great help! thanks for the video!!

  • @Ubs938
    @Ubs938 2 ปีที่แล้ว

    thx for ur awesome video man

  • @porrinporran5599
    @porrinporran5599 12 ปีที่แล้ว

    Excellent thanks

  • @IvCastilla
    @IvCastilla 8 ปีที่แล้ว

    Excelent as always...!! :)

  • @senjam2613
    @senjam2613 9 ปีที่แล้ว

    you are great..!

  • @brclements87
    @brclements87 9 ปีที่แล้ว

    Amazing thank you so much.

  • @pankajsingh09
    @pankajsingh09 9 ปีที่แล้ว

    made easy to understand ........