The Normal Approximation to the Binomial Distribution

แชร์
ฝัง
  • เผยแพร่เมื่อ 30 ม.ค. 2025

ความคิดเห็น • 252

  • @3441mike
    @3441mike 11 ปีที่แล้ว +40

    You're amazing. In a little over 14 minutes I've learned more than I have through out my stats summer class (which I've been in for nearly 6 weeks). Thank you so much!!

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว +22

    You'd use the continuity correction on both sides (P(n - 0.5 < X < n + 0.5), and standardize). I don't discuss that because it would typically be much easier to just use the binomial formula in that spot (and get the exact answer).

  • @galaxytasty
    @galaxytasty 9 ปีที่แล้ว +82

    lol your voice keeps me entertained and the lessons are awesome. I do like your teaching methods and everything seems crystal clear now so thank you !!!

    • @jbstatistics
      @jbstatistics  9 ปีที่แล้ว +8

      +galaxytasty You are very welcome!

  • @yourilohuis
    @yourilohuis 10 ปีที่แล้ว +6

    Thank you so much! You're the first guy that could explain the continuity correction in a very easy way to me.

    • @jbstatistics
      @jbstatistics  10 ปีที่แล้ว

      You are very welcome Youri. I'm glad I could be of help!

  • @t.little7757
    @t.little7757 8 ปีที่แล้ว +2

    I was befuddled and feeling pretty lost (defeated, hopeless, ready to just QUIT) before I stumbled on your channel. Thank you so much for this video. Truly.

  • @thesonicyipee
    @thesonicyipee 8 ปีที่แล้ว +19

    Your videos man... they really are helpful when your prof isn't good. Thanks man!!!!

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว +154

    Thanks! You can't steal my voice, but maybe with a little practice you can get a reasonable approximation!

    • @egghat2478
      @egghat2478 ปีที่แล้ว +5

      I can 100% steal your voice

  • @adnanmohamed6517
    @adnanmohamed6517 3 ปีที่แล้ว +4

    After reading the related chapter in the book, watching your videos is giving a great insight on the formulas and what they actually mean. You are explaining while others regurgitating!
    Thank you!

  • @kevinsha6500
    @kevinsha6500 4 ปีที่แล้ว +3

    Your series is so far the best stats tutoring series I have ever seen. Really appreciate it. Makes life so easy

  • @leonellg3167
    @leonellg3167 8 ปีที่แล้ว +30

    This makes so much sense now! Such a clear and intuitive explanation. I wish I could press that like button more than once

    • @jbstatistics
      @jbstatistics  8 ปีที่แล้ว +2

      Thanks for the very nice compliment!

  • @jerrybrett5020
    @jerrybrett5020 7 ปีที่แล้ว +3

    You are doing such a good thing for so many people. Such professional videos, well explained concepts, voice is great and super engaging. This is really saving me. Thank you mate.

    • @jbstatistics
      @jbstatistics  7 ปีที่แล้ว +2

      You are very welcome, and thanks so much for the kind words!

  • @avatar098
    @avatar098 4 ปีที่แล้ว +12

    7 years later. You helped me in undergrad and you're still spelling things out for me in grad school hahaha

  • @beezball38
    @beezball38 8 ปีที่แล้ว +3

    i'm taking probability II in the fall, this is clarifying everything from the first class so well and I love it
    teacher never explained how the pmf of the binomial distribution is symmetric and similar shaped to the bell curve with large n and p clost to .5

  • @RS-hs6ni
    @RS-hs6ni ปีที่แล้ว

    A good teacher is always someone who can teach the subject clearly. And thats a skill. You have mastered that skill. Thank you for saving my time.🎉❤

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว +3

    Thanks for the compliment! I'm glad you find my videos helpful.

  • @unenthusiasm
    @unenthusiasm 11 ปีที่แล้ว +4

    THANK YOU. You are a lifesaver! And you make statistics actually sound interesting for once with your voice :)

  • @ulasucrak9147
    @ulasucrak9147 ปีที่แล้ว +2

    Saved my life before the final.Thank you sir.

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว +1

    That I'll let you figure out on your own. Feel free to watch my video on the binomial distribution. But when I get to the normal approximation to the binomial, I assume students are familiar with both the binomial distribution and the normal distribution, otherwise there isn't much point in discussing the normal approximation.

  • @PBJYM
    @PBJYM 6 ปีที่แล้ว +2

    I got a Stats Midterm Tomorrow. You videos are legendary!!! Thank you!!!

  • @amaldavid3886
    @amaldavid3886 7 ปีที่แล้ว

    this is the best statistics channel i have come across!

    • @jbstatistics
      @jbstatistics  7 ปีที่แล้ว +1

      Thanks so much for the very kind words!

  • @juniordover263
    @juniordover263 8 ปีที่แล้ว +16

    Your videos are very elucidative. What was formerly murky are now Crystal Clear, or atleast feels that way...

    • @jbstatistics
      @jbstatistics  8 ปีที่แล้ว +5

      Thanks! I'm glad I could be of help!

    • @juniordover263
      @juniordover263 8 ปีที่แล้ว +1

      jbstatistics not just help, but great help.

  • @bng5555
    @bng5555 9 ปีที่แล้ว +4

    That's an awesome explanation of the intuition behind the continuity correction. Wow.

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว +3

    The area to the right of 1.65 under the standard normal curve is 0.0495. (There's a small typo at that point in the video, as the z value should be 1.65 and not 1.645.) The area to the left of -1.65 is also 0.0495, and I'm guessing that's what you're looking at in the table.

  • @scarfacek
    @scarfacek 8 ปีที่แล้ว

    Fantastic video. Clear explanations and gives reasons as to why to further enforce the understanding. Great teaching and voice. Really helped me

  • @afmmarques
    @afmmarques 12 ปีที่แล้ว

    Right now I'm just studying from the power points presentations that our professor gave us, but it is all condensed and I like to understand what I'm doing instead of memorizing that it is this way, so I've been searching this past week for various channels and classes in youtube, and I got to say, I've had a glimpse on your channel and you have some very important parts of my course explained in your channel which I will view later such as Sampling, confidence interval, hypothesis testing

  • @brianterry8775
    @brianterry8775 7 ปีที่แล้ว +1

    Thank you so much. I missed the lesson on this and when I asked my teacher she was just useless. This makes so much more sense now

  • @ExpressionofLizzie
    @ExpressionofLizzie 12 ปีที่แล้ว

    Thank you so, so much for posting up this video. I'm currently studying for exams, and this one lesson my teacher had not taught us, but said it would be on the exam. I was beyond confused about the entire lesson, but after watching your video, it makes me proud to say that I now understand the concept. :D Its all because of you. So, I just wanted to say thank you very much. You're so clear and easy to follow. This video was perfect!

  • @pearlipop
    @pearlipop 10 ปีที่แล้ว +2

    wow. one word for this video. Beautiful. Thank you so much for the amazing enthusiastic explanation!

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว

    You are very welcome, and I'm glad to hear you found my video useful. Thanks for the kind words, and best of luck on your exam!

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว

    Thanks! I'm glad that you found it useful. I'll be getting back to adding videos soon.

  • @afmmarques
    @afmmarques 12 ปีที่แล้ว +3

    This is an amazing explanation! Thanks for it, I really needed to understand this for my statistics course since I missed most of my lectures :p

  • @vanglequy7844
    @vanglequy7844 10 ปีที่แล้ว +236

    LOL. Dude, were you on drug when you made the video? The voice tone is hilarious.

    • @raghurrai
      @raghurrai 6 ปีที่แล้ว +23

      I think he was just trying to make the video more interesting. But what’s the probability haha

    • @sharma1337
      @sharma1337 6 ปีที่แล้ว +12

      Its his older videos so he was trying to experiment and wanted emphasize the keywords. give him a break haha

    • @myrthehoevers8326
      @myrthehoevers8326 6 ปีที่แล้ว

      I was thinking the exact same thing lol, first few times i was scared. Still super helpful vid tho!

    • @ozgunozerk
      @ozgunozerk 6 ปีที่แล้ว +10

      WTF is that 'X' on 2:50 hahah

    • @MatthaeusCaesar
      @MatthaeusCaesar 5 ปีที่แล้ว +2

      I love his videos, but this one scared me lol (still learned a lot).

  • @samchan2535
    @samchan2535 8 ปีที่แล้ว +47

    Lol. Such a Engaging voice!

  • @theodoresweger4948
    @theodoresweger4948 ปีที่แล้ว

    Best explination on TH-cam in my opinion....

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    I'm glad you found this video useful. I think that my videos are a little different from others out there (in a good way). Cheers.

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว

    You are very welcome! I'm glad you liked it.

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว +1

    I'm sure my students say that about me sometimes! I'm glad you found my video helpful. Cheers.

    • @alexcipriani6003
      @alexcipriani6003 5 ปีที่แล้ว +1

      I doubt it, what's your name so we can look you up www.ratemyprofessor.com :))

  • @pkkp70
    @pkkp70 7 ปีที่แล้ว

    I rarely comment on any videos, but I have to say, ur videos are incredibly good! Appreciate it.

    • @jbstatistics
      @jbstatistics  7 ปีที่แล้ว

      Thanks so much! I'm glad to be of help.

  • @DaurIsaev
    @DaurIsaev 12 ปีที่แล้ว

    Thank you very much you made it simple and clear!!! The book is so confusing at some points! Keep up doing it! I really appreciate your work!

  • @kevinwoods8756
    @kevinwoods8756 7 ปีที่แล้ว

    Thanks for the tables at the end showing how to calculate the continuity correction and how exact the final answer is with or without the continuity correction.

  • @kay_lillian926
    @kay_lillian926 4 หลายเดือนก่อน

    Marvellous! You have gained a subscriber! Thank you so much😭✨

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    You're welcome. I'm glad to hear you learned a lot!

  • @ThaksinPower
    @ThaksinPower 11 ปีที่แล้ว

    sir you're a hero. you deserve a medal for this. thank you very much haha.

  • @mMorgan359
    @mMorgan359 8 ปีที่แล้ว +5

    you are amazing thank you very much your presenting skills are very helpful

    • @jbstatistics
      @jbstatistics  8 ปีที่แล้ว +2

      You are very welcome. Thanks for the compliment!

  • @outkastnevalast3644
    @outkastnevalast3644 9 ปีที่แล้ว +1

    your a life saver man, i learned a lot from your videos. Thanks.

    • @jbstatistics
      @jbstatistics  9 ปีที่แล้ว

      +HaLFNoob HaLFAmaZinG You're very welcome. I'm glad I could help.

  • @JM-vz6ok
    @JM-vz6ok 8 ปีที่แล้ว

    What a fantastic way to teach statistics. I commend you sir.

  • @hanlee9314
    @hanlee9314 2 ปีที่แล้ว

    tbh you have a incredible voice and tones, hahaa really appreciate it. thanks for what u did

  • @hueguy
    @hueguy 3 ปีที่แล้ว

    I was going to fall asleep but your voice woke me up !

  • @ak-ge4qc
    @ak-ge4qc 3 ปีที่แล้ว

    Thank you this was soo much better than the lecture I paid for, lol.

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    You're welcome! I'm happy to help out.

  • @ryanspalding6252
    @ryanspalding6252 9 ปีที่แล้ว

    Very helpful, I didnt really get this when i first learned it and it wasnt until this video that I finally got it. Dont think you could have explained this any better.

    • @jbstatistics
      @jbstatistics  9 ปีที่แล้ว

      +Ryan Spalding Thanks Ryan! I'm glad you found it helpful.

  • @sashasharma9128
    @sashasharma9128 5 ปีที่แล้ว

    great lecture! voice modulations made it very interesting to watch!

  • @atriagotler
    @atriagotler ปีที่แล้ว

    Great explanation! My prof would have needed at least 2hrs for this :D

  • @afmmarques
    @afmmarques 12 ปีที่แล้ว

    and for that, thank you very much. you are very clear and the way you explain is really great!

  • @alialazawi2849
    @alialazawi2849 2 ปีที่แล้ว

    THANK YOU SOO MUCH!!! you explained much much better than my professor

  • @ImanAdmassu
    @ImanAdmassu 4 หลายเดือนก่อน +1

    Still saving grades 11 years later 🏆

  • @bioroxx
    @bioroxx 3 ปีที่แล้ว

    OMG thank you so much, I wish my professor would be as great as you in explaining this stuff

  • @sino-atrial_node
    @sino-atrial_node 4 ปีที่แล้ว

    It was 7 years ago but more intuitive than modern videos

  • @marcusglue2882
    @marcusglue2882 3 ปีที่แล้ว

    Thank you, nice visual explanation for the continuity correction

  • @grantleishman6900
    @grantleishman6900 8 ปีที่แล้ว

    Best video out there for this topic... No contest

  • @apowers7783
    @apowers7783 4 ปีที่แล้ว

    What a breath of fresh air to hear someone teach statistics enthusiastically !
    My lecturer sounds like the motor in a failing food processor...

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    The best way to find the exact answer is to simply use the binomial formula to get the probability. But if we were forced to use the normal approximation, we would first use the continuity correction on both sides of 52. In other words, we need to find P(51.5

  • @alexandragrace-s8v
    @alexandragrace-s8v 6 วันที่ผ่านมา

    How do you find 0.0385 at 10:07

  • @manuelsojan9093
    @manuelsojan9093 6 ปีที่แล้ว

    does continuity correction apply if we are talking about sampling distribution of sample mean for parent binomial distribution, assuming n>30? Or do we just treat it like a "normal" normal distribution

  • @ridhampatoliya4680
    @ridhampatoliya4680 4 ปีที่แล้ว +2

    What happened to his voice on 17th Oct, 2012?

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    Thanks! Just glad to be of help.

  • @malugaoaprilrose3946
    @malugaoaprilrose3946 4 ปีที่แล้ว

    Thank you so much for this video. It helped me a lot!
    StuDYING during this quarantine

  • @samuelarturotorresorozco1471
    @samuelarturotorresorozco1471 11 วันที่ผ่านมา

    Incredible, wow! Thank you so much

  • @UNZO_OFFICIAL
    @UNZO_OFFICIAL 6 ปีที่แล้ว

    Thank you from a Electronic Engineering student!

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว +1

    You're welcome! I'm glad to be of help, but you really should go to your lectures :)

  • @Take120
    @Take120 3 ปีที่แล้ว

    Thanks for your guides and very usefull

  • @kanikabagree1084
    @kanikabagree1084 5 ปีที่แล้ว

    Your videos are amazing thankyou so much

  • @marislox1844
    @marislox1844 10 หลายเดือนก่อน +2

    why can I not find 0.04495? I can only find 0.4495 on my table.... This is so confusing. I hate statistics so much. It's so useless.

  • @METMfarhan
    @METMfarhan 7 ปีที่แล้ว +1

    best maths professor

  • @jenyaz1303
    @jenyaz1303 4 ปีที่แล้ว

    Awesome explanation, cheers!

  • @Stunner5D
    @Stunner5D 10 ปีที่แล้ว

    Thanks for the help, this confused me in class but now I understand it!

    • @jbstatistics
      @jbstatistics  10 ปีที่แล้ว

      You are very welcome Matthew! I'm glad you found this helpful. Cheers.

  • @William54315
    @William54315 11 ปีที่แล้ว

    thanks alot for all your videos, you are doing a great a wonderful thing!

  • @baole9848
    @baole9848 6 ปีที่แล้ว

    study should be fun, i love your lectures !!

  • @jbstatistics
    @jbstatistics  11 ปีที่แล้ว

    You are very welcome.

  • @Ozzy1998afc
    @Ozzy1998afc 10 ปีที่แล้ว

    Good job dude. Good video

  • @tuankietnguyenthanh7091
    @tuankietnguyenthanh7091 10 หลายเดือนก่อน

    great work😊

  • @jbstatistics
    @jbstatistics  12 ปีที่แล้ว

    You are welcome!

  • @gardenmenuuu
    @gardenmenuuu 3 ปีที่แล้ว

    which app oor softwae did you use to make this video sir?Please reply

  • @ProfMark
    @ProfMark 7 ปีที่แล้ว

    Very good explanation..

  • @malteeaser101
    @malteeaser101 4 ปีที่แล้ว

    Does it have to be a binomial distribution? Can we use a normal approximation, shopping with continuity correction, for any discrete distribution that looks normal?

  • @JohnPiro-z1r
    @JohnPiro-z1r 9 หลายเดือนก่อน

    Wonderful video

  • @arbabarshad2148
    @arbabarshad2148 8 ปีที่แล้ว

    Your videos are really Awesome bro.

  • @grandlong5462
    @grandlong5462 5 ปีที่แล้ว

    Great explanation. Thanks a lot!

  • @ismaelochoa8730
    @ismaelochoa8730 9 ปีที่แล้ว

    I have query, If binomial can be approximated by a distribution function (any) so then why not to use the function that defines the continuity cont(x) and just evaluate it at the point we want to.?

  • @kevinb123b
    @kevinb123b 5 ปีที่แล้ว

    I wish I found your videos the first time I took stats. Thanks a lot for making them, you've earned a new subscriber!

  • @easyscience2235
    @easyscience2235 4 ปีที่แล้ว

    *Coming in not knowing why continuity correction works*
    -Coming out a Boss

  • @TreBlass
    @TreBlass 8 ปีที่แล้ว

    4:21 how by hand? pls help me here
    How can we estimate without the use of computer programmings or statistical tables?

    • @jbstatistics
      @jbstatistics  8 ปีที่แล้ว +1

      If you don't wish to use software or tables, then you'd have to carry out a numerical approximation to an integral of the standard normal probability density function. This is not practical for most humans.

    • @TreBlass
      @TreBlass 8 ปีที่แล้ว

      Okay, got it!!
      Thank you

  • @Brolnox
    @Brolnox 11 ปีที่แล้ว +1

    Excellent, I might just pass this exam!

    • @jbstatistics
      @jbstatistics  11 ปีที่แล้ว

      Best of luck on your exam!

    • @Brolnox
      @Brolnox 11 ปีที่แล้ว

      Exam went well, Not in small part thanks to your video presentations. Thanks again!

    • @jbstatistics
      @jbstatistics  11 ปีที่แล้ว

      That's good to hear, and you're very welcome. All the best.

  • @kordenru
    @kordenru 3 ปีที่แล้ว

    @jbstatistics, thank you for clear explanation. Can we use 0.1 for continuity correction instead of 0.5?

    • @jbstatistics
      @jbstatistics  3 ปีที่แล้ว

      What would be the logic behind that? 40 would become the interval between 39.9 and 40.1, but why? We use 0.5, because it divides up the continuous region into regions that correspond to whole numbers. 37.5 to 38.5 represents 38, 38.5 to 39.5 represents 39, 39.5 to 40.5 represents 40, etc. The continuity correction in the probability calculations flows from that.

    • @kordenru
      @kordenru 3 ปีที่แล้ว

      @@jbstatistics thank you. So my logic was to have minimal correction value and as we would have 0.1

  • @KlajdPwns98
    @KlajdPwns98 6 ปีที่แล้ว

    You are a lifesaver.

  • @abdullahbabor4876
    @abdullahbabor4876 4 ปีที่แล้ว

    your voice makes me energetic!!!

  • @shyamsrinivas6620
    @shyamsrinivas6620 6 ปีที่แล้ว

    Great videos! thank you, from India.

    • @jbstatistics
      @jbstatistics  6 ปีที่แล้ว

      You are very welcome! I'm glad to be of help!

  • @monozou7929
    @monozou7929 7 ปีที่แล้ว

    Thanks so much. Finally understand what continuity correction is. >

  • @savvasemexides6557
    @savvasemexides6557 6 ปีที่แล้ว

    Thank you so much for all these videos

  • @jess-gj9cx
    @jess-gj9cx 3 ปีที่แล้ว

    how do you get the .0495? I'm so confused can someone help