Finding The Probability of a Binomial Distribution Plus Mean & Standard Deviation

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  • čas přidán 30. 06. 2024
  • This Statistics video tutorial explains how to find the probability of a binomial distribution as well as calculating the mean and standard deviation. You need to know how to use the combination formula in order to solve the example problems presented in this video.
    Introduction to Probability:
    • Introduction to Probab...
    Probability Formulas:
    • Probability Formulas, ...
    Probability Explained:
    • Probability Explained!
    Probability With Geometry:
    • Probability With Geome...
    Probability of Complementary Events:
    • Probability of Complem...
    Conditional Probability:
    • Conditional Probabilit...
    __________________________________
    Independent and Dependent Events:
    • Probability - Independ...
    Probability of Mutual Exclusive Events:
    • Probability of Mutuall...
    Multiplication and Addition Rule:
    • Multiplication & Addit...
    Compound Probability:
    • Compound Probability o...
    Expected Value:
    • How To Calculate Expec...
    Probability Tree Diagrams:
    • Probability Tree Diagrams
    ___________________________________
    Bayes Theorem:
    • Bayes' Theorem of Prob...
    Probability - Binomial Distribution:
    • Finding The Probabilit...
    Probability - Geometric Distribution:
    • Geometric Distribution...
    Probability - Poisson Distribution:
    • Introduction to Poisso...
    Continuous Probability Distributions:
    • Continuous Probability...
    Probability Density Functions:
    • Cumulative Distributio...
    __________________________________
    Probability - Uniform Distributions:
    • Continuous Probability...
    Probability - Exponential Distributions:
    • Probability Exponentia...
    Probability - Normal Distributions (Calculus):
    • Normal Distribution & ...
    Probability - Standard Normal Distributions:
    • Standard Normal Distri...
    Probability - The Law of Large Numbers:
    • Law of Large Numbers
    ___________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 751

  • @TheOrganicChemistryTutor

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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    @FernandoDiaz-wh4qx Před 5 lety +2494

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  • @chuyista
    @chuyista Před 9 měsíci +41

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    @gneissnicebaby Před rokem +34

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    @mursaldost Před rokem +12

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  • @tomatrix7525
    @tomatrix7525 Před 3 lety +191

    14:00 He should consider x= 0 as that is also possible, which if we employ the formula, would be 0.75^30 which would be an extremely small number. It would logically make sense, usually we would have a number closer to 25% taking algebra, the chances that 0% take it from a samoke is highly unlikely BUT possible....

    • @footballclips5013
      @footballclips5013 Před 2 lety +3

      Less than 5 STUDENTS...I don't think zero needs to be included since we're talking about people...my thoughts tho....

    • @zohaibgulawan9070
      @zohaibgulawan9070 Před 2 lety

      No it shouldn't as if it should then my calculator would give me diff answers

    • @syedrafay7790
      @syedrafay7790 Před 2 lety +7

      Yes, correct.

    • @fightpoverty8801
      @fightpoverty8801 Před 2 lety

      Less than five simply would mean we have 0 or very negligible chances of having 0 😱

    • @kacperm.5127
      @kacperm.5127 Před 2 lety +5

      You have a point.
      P(0) =~ 0.000178... in this case.
      P(1) =~ 0.00178... which is an interesting correlation.
      This is because,
      P(1) = (30 * 0.25) * 0.75^29
      P(1) = (7.5) * 0.75^29
      P(1) = (10 * 0.75) * 0.75^29
      P(1) = 10 * 0.75^1 * 0.75^29
      P(1) = 10 * 0.75^(1+29)
      P(1) = 10 * 0.75^30
      And P(0) = 0.75^30

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  • @mikefaz5374
    @mikefaz5374 Před rokem +91

    for Problem 3 b) we need to also include P(0) . since there could be 0 students taking algebra which is also less than 5.

    • @ICsuryaa
      @ICsuryaa Před 8 měsíci +7

      Same doubt for me too...p(0) should be added right

    • @yarachesu2604
      @yarachesu2604 Před 7 měsíci +1

      I think since the question says 25% are taking algebra there is at least 1 student have taking algebra out of 30.

    • @Arthur2x
      @Arthur2x Před 7 měsíci +1

      ​@@yarachesu2604yes so there is no need of p(0)

    • @r.t.wickramasinghe9258
      @r.t.wickramasinghe9258 Před 6 měsíci +5

      @@yarachesu2604 That is not a valid point since we do not know exact total no. of students in the high school. Say that there are 200 students in the high school XYZ. Then total no.of students taking algebra will be 50(25%). So, other 150 will not be taking algebra. So, since the 30 students are chosen randomly, there is at least a small chance that all 30 are selected from that remaining 150. So, there will be a small probability for p(0) which is actually 0.018%

    • @r.t.wickramasinghe9258
      @r.t.wickramasinghe9258 Před 6 měsíci +1

      yes. I agree

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  • @owusuboakye3404
    @owusuboakye3404 Před 4 lety +36

    I think had to consider P(0) in the last question when we calculate P (X

  • @samuelrohan8995
    @samuelrohan8995 Před 8 měsíci +1

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    Hi, Please kindly explain question 3(b)! I thought there is a possibility of picking none on those doing algebra on less than 5 students, making P(0)+P(1)+P(2)+(P3)+P(4)= P(X

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    • @ishamathstea9019
      @ishamathstea9019 Před 4 lety

      Siddhartha, Jz posted about how to find PROBABILITY using BINOMIAL DISTRIBUTION....
      I hope it's helpful..... Would love to hear some feed back too

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  • @moudytech577
    @moudytech577 Před 4 lety +73

    Why we didn't consider P(0) in the last question when we calculate P (X

    • @theabdizumiye6450
      @theabdizumiye6450 Před 3 lety +5

      Yess I am wondering

    • @billygraham5589
      @billygraham5589 Před 2 lety +7

      Just a little mistake.

    • @mehedipc5349
      @mehedipc5349 Před 2 lety +4

      I was gonna comment that. Then i found your comment. I think it's a mistake & it will be clear if he pins a comment or say it in the description.

    • @TheGman426
      @TheGman426 Před 2 lety +3

      was wondering the same thing. Glad I saw this comment. P(0) needs to be calculated as well.

    • @nikitasharma4957
      @nikitasharma4957 Před 2 lety

      Becoj in p (0) there n c x is coming 0 ..when we solve this here 0 will come so no need..

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    • @ishamathstea9019
      @ishamathstea9019 Před 4 lety +1

      Jz posted about how to find PROBABILITY using BINOMIAL DISTRIBUTION....
      I hope it's helpful..... Would love to hear some feed back too

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    But you are pretty good teacher
    I attended online lectures but I don't understand this topic
    But in this video literally I understand Every property of probability distribution and binomial distribution ❤❤❤❤❤