The Normal Approximation to the Binomial Distribution

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  • Опубликовано: 2 фев 2025

Комментарии • 252

  • @jbstatistics
    @jbstatistics  11 лет назад +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).

  • @3441mike
    @3441mike 11 лет назад +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!!

  • @galaxytasty
    @galaxytasty 9 лет назад +83

    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 лет назад +8

      +galaxytasty You are very welcome!

  • @jbstatistics
    @jbstatistics  11 лет назад +154

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

    • @egghat2478
      @egghat2478 2 года назад +5

      I can 100% steal your voice

  • @jbstatistics
    @jbstatistics  11 лет назад +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.

  • @yourilohuis
    @yourilohuis 10 лет назад +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 лет назад

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

  • @t.little7757
    @t.little7757 8 лет назад +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 лет назад +19

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

  • @kevinsha6500
    @kevinsha6500 4 года назад +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 лет назад +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 лет назад +2

      Thanks for the very nice compliment!

  • @adnanmohamed6517
    @adnanmohamed6517 3 года назад +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!

  • @jbstatistics
    @jbstatistics  11 лет назад +3

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

  • @jerrybrett5020
    @jerrybrett5020 7 лет назад +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 лет назад +2

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

  • @RS-hs6ni
    @RS-hs6ni Год назад

    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.🎉❤

  • @beezball38
    @beezball38 8 лет назад +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

  • @avatar098
    @avatar098 4 года назад +12

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

  • @amaldavid3886
    @amaldavid3886 7 лет назад

    this is the best statistics channel i have come across!

    • @jbstatistics
      @jbstatistics  7 лет назад +1

      Thanks so much for the very kind words!

  • @jbstatistics
    @jbstatistics  12 лет назад +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.

  • @jbstatistics
    @jbstatistics  12 лет назад

    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 лет назад

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

  • @ulasucrak9147
    @ulasucrak9147 Год назад +2

    Saved my life before the final.Thank you sir.

  • @jbstatistics
    @jbstatistics  12 лет назад

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

  • @jbstatistics
    @jbstatistics  11 лет назад

    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.

  • @bng5555
    @bng5555 9 лет назад +4

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

  • @jbstatistics
    @jbstatistics  11 лет назад +1

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

    • @alexcipriani6003
      @alexcipriani6003 5 лет назад +1

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

  • @scarfacek
    @scarfacek 8 лет назад

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

  • @samchan2535
    @samchan2535 8 лет назад +47

    Lol. Such a Engaging voice!

  • @unenthusiasm
    @unenthusiasm 11 лет назад +4

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

  • @vanglequy7844
    @vanglequy7844 10 лет назад +236

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

    • @raghurrai
      @raghurrai 6 лет назад +23

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

    • @sharma1337
      @sharma1337 6 лет назад +12

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

    • @myrthehoevers8326
      @myrthehoevers8326 6 лет назад

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

    • @ozgunozerk
      @ozgunozerk 6 лет назад +10

      WTF is that 'X' on 2:50 hahah

    • @MatthaeusCaesar
      @MatthaeusCaesar 5 лет назад +2

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

  • @pearlipop
    @pearlipop 10 лет назад +2

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

  • @PBJYM
    @PBJYM 6 лет назад +2

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

  • @brianterry8775
    @brianterry8775 7 лет назад +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

  • @juniordover263
    @juniordover263 8 лет назад +16

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

    • @jbstatistics
      @jbstatistics  8 лет назад +5

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

    • @juniordover263
      @juniordover263 8 лет назад +1

      jbstatistics not just help, but great help.

  • @ExpressionofLizzie
    @ExpressionofLizzie 12 лет назад

    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!

  • @theodoresweger4948
    @theodoresweger4948 Год назад

    Best explination on RUclips in my opinion....

  • @jbstatistics
    @jbstatistics  11 лет назад

    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

  • @afmmarques
    @afmmarques 12 лет назад

    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

  • @kay_lillian926
    @kay_lillian926 4 месяца назад

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

  • @outkastnevalast3644
    @outkastnevalast3644 9 лет назад +1

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

    • @jbstatistics
      @jbstatistics  9 лет назад

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

  • @ThaksinPower
    @ThaksinPower 11 лет назад

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

  • @afmmarques
    @afmmarques 12 лет назад +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

  • @mMorgan359
    @mMorgan359 8 лет назад +5

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

    • @jbstatistics
      @jbstatistics  8 лет назад +2

      You are very welcome. Thanks for the compliment!

  • @pkkp70
    @pkkp70 7 лет назад

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

    • @jbstatistics
      @jbstatistics  7 лет назад

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

  • @jbstatistics
    @jbstatistics  11 лет назад

    You are very welcome.

  • @jbstatistics
    @jbstatistics  12 лет назад

    You are welcome!

  • @jbstatistics
    @jbstatistics  11 лет назад

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

  • @ak-ge4qc
    @ak-ge4qc 3 года назад

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

  • @hueguy
    @hueguy 3 года назад

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

  • @kevinwoods8756
    @kevinwoods8756 7 лет назад

    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.

  • @hanlee9314
    @hanlee9314 2 года назад

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

  • @JM-vz6ok
    @JM-vz6ok 8 лет назад

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

  • @jbstatistics
    @jbstatistics  11 лет назад

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

  • @alialazawi2849
    @alialazawi2849 2 года назад

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

  • @ryanspalding6252
    @ryanspalding6252 9 лет назад

    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 лет назад

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

  • @bioroxx
    @bioroxx 3 года назад

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

  • @grantleishman6900
    @grantleishman6900 8 лет назад

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

  • @afmmarques
    @afmmarques 12 лет назад

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

  • @DaurIsaev
    @DaurIsaev 12 лет назад

    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!

  • @samuelarturotorresorozco1471
    @samuelarturotorresorozco1471 14 дней назад

    Incredible, wow! Thank you so much

  • @atriagotler
    @atriagotler Год назад

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

  • @malugaoaprilrose3946
    @malugaoaprilrose3946 4 года назад

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

  • @sino-atrial_node
    @sino-atrial_node 4 года назад

    It was 7 years ago but more intuitive than modern videos

  • @sashasharma9128
    @sashasharma9128 5 лет назад

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

  • @jbstatistics
    @jbstatistics  11 лет назад

    Thanks! Just glad to be of help.

  • @marcusglue2882
    @marcusglue2882 3 года назад

    Thank you, nice visual explanation for the continuity correction

  • @jbstatistics
    @jbstatistics  11 лет назад +1

    You are welcome! I don't make statistics sound interesting, statistics *is* interesting! Cheers.

  • @apowers7783
    @apowers7783 4 года назад

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

  • @UNZO_OFFICIAL
    @UNZO_OFFICIAL 6 лет назад

    Thank you from a Electronic Engineering student!

  • @jbstatistics
    @jbstatistics  12 лет назад

    You're welcome!

  • @Stunner5D
    @Stunner5D 10 лет назад

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

    • @jbstatistics
      @jbstatistics  10 лет назад

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

  • @ImanAdmassu
    @ImanAdmassu 4 месяца назад +1

    Still saving grades 11 years later 🏆

  • @baole9848
    @baole9848 6 лет назад

    study should be fun, i love your lectures !!

  • @kanikabagree1084
    @kanikabagree1084 5 лет назад

    Your videos are amazing thankyou so much

  • @kevinb123b
    @kevinb123b 5 лет назад

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

  • @William54315
    @William54315 11 лет назад

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

  • @Take120
    @Take120 3 года назад

    Thanks for your guides and very usefull

  • @grandlong5462
    @grandlong5462 5 лет назад

    Great explanation. Thanks a lot!

  • @jenyaz1303
    @jenyaz1303 4 года назад

    Awesome explanation, cheers!

  • @monozou7929
    @monozou7929 7 лет назад

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

  • @METMfarhan
    @METMfarhan 7 лет назад +1

    best maths professor

  • @jbstatistics
    @jbstatistics  12 лет назад +1

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

  • @savvasemexides6557
    @savvasemexides6557 6 лет назад

    Thank you so much for all these videos

  • @Kaysar777
    @Kaysar777 8 лет назад +2

    Thank you. Everything is clear now. :D

    • @jbstatistics
      @jbstatistics  8 лет назад +1

      You're welcome. I'm glad to hear that this video helped!

  • @KlajdPwns98
    @KlajdPwns98 6 лет назад

    You are a lifesaver.

  • @manuelsojan9093
    @manuelsojan9093 6 лет назад

    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

  • @kordenru
    @kordenru 3 года назад

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

    • @jbstatistics
      @jbstatistics  3 года назад

      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 года назад

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

  • @shyamsrinivas6620
    @shyamsrinivas6620 6 лет назад

    Great videos! thank you, from India.

    • @jbstatistics
      @jbstatistics  6 лет назад

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

  • @Brolnox
    @Brolnox 11 лет назад +1

    Excellent, I might just pass this exam!

    • @jbstatistics
      @jbstatistics  11 лет назад

      Best of luck on your exam!

    • @Brolnox
      @Brolnox 11 лет назад

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

    • @jbstatistics
      @jbstatistics  11 лет назад

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

  • @abdullahbabor4876
    @abdullahbabor4876 4 года назад

    your voice makes me energetic!!!

  • @malteeaser101
    @malteeaser101 4 года назад

    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?

  • @MaxOnTrack
    @MaxOnTrack 10 лет назад

    good job man! really helped

  • @alexandragrace-s8v
    @alexandragrace-s8v 9 дней назад

    How do you find 0.0385 at 10:07

  • @gardenmenuuu
    @gardenmenuuu 3 года назад

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

  • @alisharaf97
    @alisharaf97 7 лет назад

    Hey +jbstatistics,
    would you mind telling me when exactly do we add 0.5 to the x (when we're calculating the Z) and when do we subtract it??
    Thanks in advance and your videos are AWESOME!!

    • @fulyauzun8972
      @fulyauzun8972 7 лет назад

      for example z52 you need to substract .5

  • @easyscience2235
    @easyscience2235 4 года назад

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

  • @Ozzy1998afc
    @Ozzy1998afc 10 лет назад

    Good job dude. Good video

  • @modelaircraft12
    @modelaircraft12 9 лет назад

    you are awesome!
    thank you JB statistics :D
    God bless you!

    • @jbstatistics
      @jbstatistics  9 лет назад

      franco diaz You are very welcome. Thanks for the compliment!

  • @arbabarshad2148
    @arbabarshad2148 8 лет назад

    Your videos are really Awesome bro.

  • @ismaelochoa8730
    @ismaelochoa8730 9 лет назад

    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.?

  • @tuankietnguyenthanh7091
    @tuankietnguyenthanh7091 10 месяцев назад

    great work😊