Introduction to Probability : Exponential Distribution

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  • Опубликовано: 4 ноя 2024

Комментарии • 100

  • @ihsanerady9403
    @ihsanerady9403 Год назад

    I have watched tons of videos and never understand it , untill I watched yours . You have no idea how much it helps. Your steps are very simple, clear and really easy to understand. Thank you sooooo much

  • @robertaglarsen
    @robertaglarsen 7 лет назад +5

    "The CDF can be written as the probability of the lifetime being less than some value x"
    That helped me soooo much, thanks!

  • @Caffeinegoesinface
    @Caffeinegoesinface 10 лет назад +1

    Ok this is fantastic. My prof has the most round about ways of explaining probability densities. This really underlines the basic concepts and makes it much easier to tackle tougher problems, that included exponential distribution as a part of them. Thanks!

  • @androidcobra679
    @androidcobra679 11 лет назад +2

    For my high school math class, I am supposed to be teaching exponential distribution to my fellow peers. This video was very helpful! Thank you so much:)

  • @____________7035
    @____________7035 4 года назад +7

    5:46 E and Var
    2:50 PDF
    4:10 CDF

  • @kelvinok2000
    @kelvinok2000 10 лет назад +1

    Thank you so much Stats. your video has just save me time,unnecessary stress and perfect understanding. God bless you. i enjoyed and learnt from your video.

  • @famketheron7475
    @famketheron7475 6 лет назад +14

    Should've explained how you derived the cumulative distribution function from probability density function. Also we can solve P(5

  • @codeguyross
    @codeguyross 9 лет назад +7

    This was very helpful! Clear and easy to understand

  • @nanabenz7970
    @nanabenz7970 9 лет назад +1

    This is a very nice and explicit video... great help. Thanks

  • @kumarprateek238
    @kumarprateek238 2 года назад

    Thank you so much man. This is the only video which helped me so far

  • @smokeyofficiial
    @smokeyofficiial 5 лет назад +2

    lovely video but much easier on the question C by just integrating f(x) within that limit 5 and 10. Good job man

  • @mohammadpourheydarian5877
    @mohammadpourheydarian5877 7 лет назад +1

    I like it for being neatly written making it easy to copy fr future use.

  • @charvakpatel962
    @charvakpatel962 9 лет назад +7

    Thank You So Much Sir. It really helped me a lot. Keep on doing this kind of videos

  • @ioannismarkoulakis4978
    @ioannismarkoulakis4978 6 лет назад +1

    finally the educational video I was searching

  • @Deadburd55
    @Deadburd55 7 лет назад +1

    this video helped so much once i figured out the e is a set number. kinda like pi.

  • @simranchhabra1722
    @simranchhabra1722 3 года назад +1

    Thankyou,the explanation is very clear.

  • @hakanchunton823
    @hakanchunton823 2 года назад +1

    Very helpful video. Thank you!

  • @reddotmobility
    @reddotmobility 7 лет назад +1

    Very Helpful ..Thank you so much for your upload

  • @harshitagarwal3557
    @harshitagarwal3557 8 лет назад +1

    Thanks a lot..Earlier i was very much confused in waiting line theory..

  • @joshuakoni5428
    @joshuakoni5428 5 лет назад +1

    Thank you! Was very helpful and clear to follow

  • @daleeps
    @daleeps 7 лет назад +1

    Beautiful, thank you! I could not find a detailed explanation anywhere

  • @abysswalkerx8434
    @abysswalkerx8434 8 лет назад +4

    Thanks so much! Loved it even more because of the Irish accent!

  • @hannahburke6056
    @hannahburke6056 7 лет назад +1

    Super super helpful. Thank you.

  • @tana4497
    @tana4497 9 лет назад +1

    I thought because exponential distribution deals with continuous data, that you could not use less/more than or equal to, rather just less than or more than. Because with continuous data the probability of you being exactly on the point of a discrete number such as having exactly 5 litres of fuel in ur tank, would be 0? correct me if I'm wrong

  • @AkshaySahu
    @AkshaySahu 9 лет назад +1

    Thanks for such an informative video.

  • @AyodejiOyewole
    @AyodejiOyewole 11 лет назад +1

    Really good presentation. Keep up the good job sir.

  • @krishammond8851
    @krishammond8851 7 лет назад +1

    Ive done all the workings using .10 as Lambda and having the value being in brackets after the lambda, still same result just slightly different method.

  • @meghalbhansali5820
    @meghalbhansali5820 3 года назад +1

    Thank you, this was awesome! :)

  • @bhavoh
    @bhavoh 11 лет назад +2

    For part c), I don't understand how the complement of P(5

    • @DragonflyStatistics
      @DragonflyStatistics  11 лет назад +3

      Good question - Remember that the exponential is a continuous distribution. P(X =k) is considered 0. If the distribution was *discrete* - then the problem you mentioned would arise.

    • @DragonflyStatistics
      @DragonflyStatistics  11 лет назад

      As regards the Interval
      1. P(Inside Interval) = 1-P(outside Interval)
      2. P(Outside Interval) = P(Too High) + P(Too Low)
      It is common to all continuous distributions so not discussed here in detail

    • @bhavoh
      @bhavoh 11 лет назад

      Stats-Lab Dublin I see! It is important to be aware of those minor things when working with continuous distributions vs. discrete. Thank you for your explanation!

    • @DragonflyStatistics
      @DragonflyStatistics  11 лет назад

      Call it Learning. I am sort of build up the library bit by bit - Also can't cram everything into one video

    • @lewisclothier5496
      @lewisclothier5496 6 лет назад

      Don't get why you wouldnt just do P(5

  • @I_neyoh
    @I_neyoh 7 лет назад +1

    Thank you, i understood it perfectly.

  • @khaledalhorani7965
    @khaledalhorani7965 8 лет назад +1

    You made my day :)
    I can't thank you enough...

  • @fluffypanda3
    @fluffypanda3 7 лет назад +3

    For part B it should be P(x>10) not greater than equal to

  • @youngzenizer
    @youngzenizer 8 лет назад +2

    I'm confused.. at 10:00 you say "and that minus there, and that minus there gives a plus".. where are you getting the other minus? I can only see a 1 - (1-e^(-lambda x))
    which should give -e^(-lambda x) ??

  • @ukidding
    @ukidding 8 лет назад +1

    are earthquakes in a region truly independent? one earthquake may give rise to tremors and affect the future

  • @leylasolmaz3978
    @leylasolmaz3978 10 лет назад +1

    good job!

  • @user-qf8ur9sp1b
    @user-qf8ur9sp1b 8 лет назад +1

    In part A why did you use the CDF instead of the PDF? You pretty much used the CDF in all parts instead of PDF why?

  • @murtazahussain6301
    @murtazahussain6301 6 лет назад +1

    thanks

  • @winnieng5303
    @winnieng5303 8 лет назад +3

    Sorry sir. I am not sure why we should use the CDF of exponential distribution in part a and b but not PDF of exponential distribution? Thanks

    • @MrSazid1
      @MrSazid1 7 лет назад +2

      if you want to use the pdf you have to integrate .. which is the cdf.. less math to do

    • @akashray6447
      @akashray6447 6 лет назад

      because pdf of a function is the probability per unit if you use it then it will not give you the probability ,instead if one uses the integration of pdf wrt "the unit" then you will get{(probability/unit)xunit} which will give you the probability also known as the cdf.

  • @georgetorru9834
    @georgetorru9834 11 лет назад +1

    The failure rate of an electronic component is 2 per 300 hours on average.
    a) Find the probability that the component will fail before 200 hours of operation?
    b) Find the probability that the component is still working after 500 hours of operation. i need help with that anyone with an idea pls

  • @Ekjyot07
    @Ekjyot07 6 лет назад +1

    oh my words! thanks so much!

  • @lesleymatsa2271
    @lesleymatsa2271 3 года назад

    Thank you so much

  • @lucretiastephenson3901
    @lucretiastephenson3901 4 года назад +1

    Thank you!!!!!!!!!!!!

  • @nimarzv
    @nimarzv 4 года назад

    THANK YOU!

  • @Ihatenicknames1
    @Ihatenicknames1 11 лет назад +1

    Thank you! This was really good :D keep making videos!

  • @tarikurrahmanlikhon5734
    @tarikurrahmanlikhon5734 3 года назад

    Thanks bunch.

  • @mohammadal-sweity789
    @mohammadal-sweity789 7 лет назад +2

    For part a in your example you wrote the question asking for P(x

    • @samyukthaponnamanda7145
      @samyukthaponnamanda7145 6 лет назад

      Mohammad Al-Sweity i think... Because probability of a continuous random variable at particular point is zero...

  • @ojfbahf
    @ojfbahf 8 лет назад +1

    sir when do we use the compliment rule ?

  • @tanyamusaidzi9911
    @tanyamusaidzi9911 Год назад

    Thanks 😊

  • @GSBhargav94
    @GSBhargav94 8 лет назад +6

    shouldnt P(X>=10) be 1-P(X

    • @takudzwamukura7172
      @takudzwamukura7172 6 лет назад

      I liked the video before I saw that part

    • @kalaninalak
      @kalaninalak 6 лет назад +1

      For discrete variables this would be true, however `1-P(X

    • @zamanraja9531
      @zamanraja9531 5 лет назад

      Yh

    • @idobooks909
      @idobooks909 5 лет назад

      In continuous distributions P(X>=k) = P(X>k). Because doing Integral in a precise point is equal to 0.

  • @stloiyf
    @stloiyf 6 лет назад +1

    1:30 that should be "inversely proportional"...and i think you mean "less than 0 seconds" at 2:48

  • @reddotmobility
    @reddotmobility 7 лет назад

    Can't find other videos of Probability .

  • @SuperFerdie1965
    @SuperFerdie1965 5 лет назад

    I thought v(x) was e(x squared) - the square of e(x) not just e(x squared)?

  • @jasmeet17mast
    @jasmeet17mast 9 лет назад +1

    am confused in part a
    you computed p(x

    • @DragonflyStatistics
      @DragonflyStatistics  9 лет назад +5

      +Jasmeet Singh for Continuous Distributions they are consider to be the exact same (P(X=k) is considered to be Zero)

    • @jasmeet17mast
      @jasmeet17mast 9 лет назад +3

      Thanks, I looked at the graph again and yes P(X=k) is always zero, Because in Continous random Vars we look for intervals. Thanks

  • @markengelberg8079
    @markengelberg8079 6 лет назад

    Thank you

  • @maribelbravo1464
    @maribelbravo1464 7 лет назад +1

    Thank you for the video! It is very helpful. (':

  • @melquicarvalho
    @melquicarvalho 6 лет назад +1

    muuuuuuuuuuuuuuuito bom!!!
    very good : )

  • @libertarianPinoy
    @libertarianPinoy 5 лет назад

    How is P(X>=x)=1 ?

  • @monsturyo9041
    @monsturyo9041 7 лет назад +4

    Thanks a lot this really help. BTW sorry i cant help but kind of laughed at 8:27 "Change it a BI*CH, sorry" haha

  • @gchoi0215
    @gchoi0215 9 лет назад +6

    Oh my god thank you so much

  • @regularguyk6181
    @regularguyk6181 10 лет назад

    why do you use the complement rule?

    • @DragonflyStatistics
      @DragonflyStatistics  10 лет назад +4

      in general, it is always a useful thing to consider when tackling probability exercises. ...

  • @utsavverma4595
    @utsavverma4595 4 года назад

    Felt more like reading lines than explaining things , so If you explain more pictorially than it would help better

  • @ryanreal1783
    @ryanreal1783 5 лет назад

    Can lambda be greater than 1?

  • @sami-samim
    @sami-samim 8 лет назад +3

    isn't it λe^(-λx)?

    • @DavidMoscoeUni
      @DavidMoscoeUni 8 лет назад +2

      That's pdf, for the questions cdf is required

  • @ryanbee3886
    @ryanbee3886 8 лет назад

    thanks

  • @balasandeep63
    @balasandeep63 7 лет назад

    thank u so much

  • @emperorofthegalaxy1
    @emperorofthegalaxy1 9 лет назад +1

    2 AM in the morning, im now ready for my stats quiz. GG ENGR 371

    • @kumarprateek238
      @kumarprateek238 2 года назад

      hahaha 1:57 AM here, ready for my internals tomorrow

    • @emperorofthegalaxy1
      @emperorofthegalaxy1 2 года назад

      @@kumarprateek238 lmao 7 years ago. Dont remeber any of this shit. I prob failed that exam

    • @kumarprateek238
      @kumarprateek238 2 года назад

      @@emperorofthegalaxy1 lol

    • @kumarprateek238
      @kumarprateek238 2 года назад

      same I failed too

  • @laiarturs1889
    @laiarturs1889 9 лет назад

    You can't wait less than 5 seconds? 2:46

  • @RashidByDay
    @RashidByDay 7 лет назад

    thaaaaaaaaaaaaaaank you

  • @davidsosa2307
    @davidsosa2307 8 лет назад +1

    chris o'Dowd teaches stastistics

  • @evanjones2974
    @evanjones2974 7 лет назад

    HAND OVER YOUR GOLD LEPRECHAUN

  • @looploop6612
    @looploop6612 7 лет назад

    Many So so so ...

  • @RuriRukawa
    @RuriRukawa 9 лет назад

    why do you keep saying NOT? the answer is NOT point ....it's confusing. Other than that, good video.

    • @jiggsaw25
      @jiggsaw25 9 лет назад +6

      "naught" is simply another name for zero.

    • @RuriRukawa
      @RuriRukawa 9 лет назад

      oh okay. didn't know that. thanks :)

  • @limjiu
    @limjiu 8 лет назад

  • @bguom4194
    @bguom4194 5 лет назад

    wasting time too much

  • @dmccaulley9105
    @dmccaulley9105 5 лет назад

    THANK YOU!