Continuous Random Variables: Cumulative Distribution Functions

Watch more tutorials in my Edexcel S2 playlist: goo.gl/gt1up
This is the second in a sequence of tutorials about continuous random variables. I explain how to calculate and use cumulative distribution functions (CDFs).
Tutorials on continuous random variables
Probability density functions (PDFs): • Continuous Random Vari...
Cumulative distribution functions (CDFs): • Continuous Random Vari...
Mean & Variance: • Continuous Random Vari...
Median: • Continuous Random Vari...
Mode: • Continuous Random Vari...
Past Paper Questions: • Continuous Random Vari...
Watch more tutorials in my Edexcel S2 playlist: goo.gl/gt1up
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Пікірлер: 21

  • @torwalk6978
    @torwalk69789 жыл бұрын

    The way the material is being presented, beats KhanAcademy, which in my opinion was the superlative till now. Awesome. Thanks!

  • @MrNichollTV
    @MrNichollTV11 жыл бұрын

    By the way, you can also find out D by using the fact that F(4) = 1. You can substitute x = 4 into the formula for F when x is between 2 and 4 and the answer should be 1. So this gives you another equation you can solve for D. Let me know if you would like any further explanation.

  • @MrNichollTV
    @MrNichollTV10 жыл бұрын

    I am glad you found it helpful!

  • @MrNichollTV
    @MrNichollTV11 жыл бұрын

    These are covered in later videos in the series. Have a look in the video description for the links. (KZread doesn't allow me to paste them here.) Thank you for watching.

  • @y031962
    @y0319629 жыл бұрын

    Excellent description of the CDF, best I have seen sofar. Thanks a lot.

  • @torwalk6978
    @torwalk69789 жыл бұрын

    I feel that i should thank you again, in another comment. Thank you!

  • @joshuac9593
    @joshuac95939 жыл бұрын

    very nice and easy to understand,thanks!

  • @MrNichollTV
    @MrNichollTV11 жыл бұрын

    Putting x = 2 into the formula for F when x is between 0 and 2 should give the same answer as putting x = 2 into the formula for F when x is between 2 and 4. Both give the probability of the random variable being 2 or less and this probability cannot suddenly change when you switch from one formula to the other. So as the two things should give the same answer, you can equate them to find out D. If you look at the final answer, you'll see that you get F(2) = 1/3 using either formula.

  • @majdabdo757
    @majdabdo7579 жыл бұрын

    thank you ! it is very helpful and easily understandable

  • @lachatre82
    @lachatre8210 жыл бұрын

    Ty this is perfect !

  • @jhliang2009
    @jhliang200910 жыл бұрын

    Thank you very very much! It is very helpful!

  • @racerx1326
    @racerx132611 жыл бұрын

    I was hoping you would show the relationship between CDF and central tendencies like mean median mode etc.

  • @sitkin1
    @sitkin110 жыл бұрын

    Thank you, thank you, thank you. I finally see the big picture!

  • @Virus95j
    @Virus95j11 жыл бұрын

    Thanks Very much Mr Nicholl, really really good teaching. Chapter 3 used to be a nightmare :)

  • @Virus95j
    @Virus95j11 жыл бұрын

    I don't quite understand the part at 17:07 where you have equated the integrated function to F(2) in order to find D. I would have thought that in order to find D you equate what you integrated (plus your substituted value of 2 for x) to 0. ? Thanks MrNicholl

  • @merasion
    @merasion10 жыл бұрын

    ty so much

  • @mattdathew2794
    @mattdathew279410 жыл бұрын

    thank-u so much

  • @mrsambhi
    @mrsambhi10 жыл бұрын

    The PDF link doesnt work. How can we watch that

  • @MrNichollTV

    @MrNichollTV

    9 жыл бұрын

    M Singh Sorry. I think this is fixed now.

  • @MrNichollTV
    @MrNichollTV11 жыл бұрын

    Mean & Variance: gPAxuMKZ-w8 Median: lmXDclWMLgM Mode: AYxZYPcXctY