Introduction to Probability : Exponential Distribution

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  • Опубліковано 8 вер 2024
  • www.Stats-Lab.com | www.bit.ly/IntroStats | Continuous Probability Distributions
    A review of the exponential probability distribution

КОМЕНТАРІ • 100

  • @robertaglarsen
    @robertaglarsen 6 років тому +5

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

  • @ihsanerady9403
    @ihsanerady9403 11 місяців тому

    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

  • @katecockerille8736
    @katecockerille8736 10 років тому +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:)

  • @Caffeinegoesinface
    @Caffeinegoesinface 9 років тому +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!

  • @famketheron7475
    @famketheron7475 6 років тому +14

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

  • @smokeyofficiial
    @smokeyofficiial 4 роки тому +2

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

  • @____________7035
    @____________7035 3 роки тому +7

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

  • @kelvinok2000
    @kelvinok2000 9 років тому +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.

  • @codeguyross
    @codeguyross 9 років тому +7

    This was very helpful! Clear and easy to understand

  • @charvakpatel962
    @charvakpatel962 9 років тому +7

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

  • @nanabenz7970
    @nanabenz7970 9 років тому +1

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

  • @mohammadpourheydarian5877
    @mohammadpourheydarian5877 7 років тому +1

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

  • @simranchhabra1722
    @simranchhabra1722 3 роки тому +1

    Thankyou,the explanation is very clear.

  • @Deadburd55
    @Deadburd55 7 років тому +1

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

  • @kumarprateek238
    @kumarprateek238 Рік тому

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

  • @harshitagarwal3557
    @harshitagarwal3557 7 років тому +1

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

  • @hakanchunton823
    @hakanchunton823 2 роки тому +1

    Very helpful video. Thank you!

  • @abysswalkerx8434
    @abysswalkerx8434 8 років тому +4

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

  • @ioannismarkoulakis4978
    @ioannismarkoulakis4978 6 років тому +1

    finally the educational video I was searching

  • @reddotmobility
    @reddotmobility 7 років тому +1

    Very Helpful ..Thank you so much for your upload

  • @daleeps
    @daleeps 6 років тому +1

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

  • @joshuakoni5428
    @joshuakoni5428 4 роки тому +1

    Thank you! Was very helpful and clear to follow

  • @AkshaySahu
    @AkshaySahu 9 років тому +1

    Thanks for such an informative video.

  • @hannahburke6056
    @hannahburke6056 6 років тому +1

    Super super helpful. Thank you.

  • @bhavoh
    @bhavoh 10 років тому +2

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

    • @DragonflyStatistics
      @DragonflyStatistics  10 років тому +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  10 років тому

      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 10 років тому

      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  10 років тому

      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 років тому

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

  • @I_neyoh
    @I_neyoh 6 років тому +1

    Thank you, i understood it perfectly.

  • @youngzenizer
    @youngzenizer 8 років тому +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) ??

  • @krishammond8851
    @krishammond8851 7 років тому +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.

  • @lucretiastephenson3901
    @lucretiastephenson3901 4 роки тому +1

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

  • @khaledalhorani7965
    @khaledalhorani7965 7 років тому +1

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

  • @tana4497
    @tana4497 8 років тому +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

  • @meghalbhansali5820
    @meghalbhansali5820 2 роки тому +1

    Thank you, this was awesome! :)

  • @murtazahussain6301
    @murtazahussain6301 6 років тому +1

    thanks

  • @Ekjyot07
    @Ekjyot07 6 років тому +1

    oh my words! thanks so much!

  • @fluffypanda3
    @fluffypanda3 6 років тому +3

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

  • @AyodejiOyewole
    @AyodejiOyewole 10 років тому +1

    Really good presentation. Keep up the good job sir.

  • @nimarzv
    @nimarzv 3 роки тому

    THANK YOU!

  • @tarikurrahmanlikhon5734
    @tarikurrahmanlikhon5734 3 роки тому

    Thanks bunch.

  • @lesleymatsa2271
    @lesleymatsa2271 3 роки тому

    Thank you so much

  • @winnieng5303
    @winnieng5303 8 років тому +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 6 років тому +2

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

    • @akashray6447
      @akashray6447 6 років тому

      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.

  • @FuckingGolems
    @FuckingGolems 9 років тому +1

    How do you find the lambda of an exponential random variable?

  • @Ihatenicknames1
    @Ihatenicknames1 11 років тому +1

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

  • @melquicarvalho
    @melquicarvalho 6 років тому +1

    muuuuuuuuuuuuuuuito bom!!!
    very good : )

  • @leylasolmaz3978
    @leylasolmaz3978 9 років тому +1

    good job!

  • @user-qf8ur9sp1b
    @user-qf8ur9sp1b 8 років тому +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?

  • @georgetorru9834
    @georgetorru9834 10 років тому +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

  • @ukidding
    @ukidding 8 років тому +1

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

  • @tanyamusaidzi9911
    @tanyamusaidzi9911 10 місяців тому

    Thanks 😊

  • @maribelbravo1464
    @maribelbravo1464 6 років тому +1

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

  • @GSBhargav94
    @GSBhargav94 8 років тому +6

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

    • @takudzwamukura7172
      @takudzwamukura7172 5 років тому

      I liked the video before I saw that part

    • @kalaninalak
      @kalaninalak 5 років тому +1

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

    • @zamanraja9531
      @zamanraja9531 5 років тому

      Yh

    • @idobooks909
      @idobooks909 5 років тому

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

  • @gchoi0215
    @gchoi0215 8 років тому +6

    Oh my god thank you so much

  • @monsturyo9041
    @monsturyo9041 7 років тому +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

  • @jasmeet17mast
    @jasmeet17mast 9 років тому +1

    am confused in part a
    you computed p(x

    • @DragonflyStatistics
      @DragonflyStatistics  9 років тому +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 років тому +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

  • @mohammadal-sweity789
    @mohammadal-sweity789 7 років тому +2

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

    • @samyukthaponnamanda7145
      @samyukthaponnamanda7145 6 років тому

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

  • @stloiyf
    @stloiyf 6 років тому +1

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

  • @markengelberg8079
    @markengelberg8079 6 років тому

    Thank you

  • @reddotmobility
    @reddotmobility 7 років тому

    Can't find other videos of Probability .

  • @ojfbahf
    @ojfbahf 8 років тому +1

    sir when do we use the compliment rule ?

  • @SuperFerdie1965
    @SuperFerdie1965 4 роки тому

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

  • @balasandeep63
    @balasandeep63 7 років тому

    thank u so much

  • @ryanbee3886
    @ryanbee3886 8 років тому

    thanks

  • @libertarianPinoy
    @libertarianPinoy 5 років тому

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

  • @sami-samim
    @sami-samim 8 років тому +3

    isn't it λe^(-λx)?

    • @DavidMoscoeUni
      @DavidMoscoeUni 7 років тому +2

      That's pdf, for the questions cdf is required

  • @regularguyk6181
    @regularguyk6181 10 років тому

    why do you use the complement rule?

    • @DragonflyStatistics
      @DragonflyStatistics  10 років тому +4

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

  • @utsavverma4595
    @utsavverma4595 4 роки тому

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

  • @ryanreal1783
    @ryanreal1783 4 роки тому

    Can lambda be greater than 1?

  • @RashidByDay
    @RashidByDay 7 років тому

    thaaaaaaaaaaaaaaank you

  • @laiarturs1889
    @laiarturs1889 9 років тому

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

  • @emperorofthegalaxy1
    @emperorofthegalaxy1 9 років тому +1

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

  • @davidsosa2307
    @davidsosa2307 8 років тому +1

    chris o'Dowd teaches stastistics

  • @looploop6612
    @looploop6612 6 років тому

    Many So so so ...

  • @evanjones2974
    @evanjones2974 7 років тому

    HAND OVER YOUR GOLD LEPRECHAUN

  • @RuriRukawa
    @RuriRukawa 9 років тому

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

    • @jiggsaw25
      @jiggsaw25 9 років тому +6

      "naught" is simply another name for zero.

    • @RuriRukawa
      @RuriRukawa 9 років тому

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

  • @limjiu
    @limjiu 8 років тому

  • @bguom4194
    @bguom4194 5 років тому

    wasting time too much

  • @dmccaulley9105
    @dmccaulley9105 5 років тому

    THANK YOU!