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Continuous Random Variables: Cumulative Distribution Functions

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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
Visit my channel for other maths videos: / mrnicholltv
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Опубликовано:

25 ноя 2012

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Комментарии : 21

@torwalk6978 9 лет назад

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

@MrNichollTV 10 лет назад

I am glad you found it helpful!

@MrNichollTV 11 лет назад

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.

@y031962 9 лет назад

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

@joshuac9593 9 лет назад

very nice and easy to understand,thanks!

@torwalk6978 9 лет назад

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

@majdabdo757 9 лет назад

thank you ! it is very helpful and easily understandable

@lachatre82 10 лет назад

Ty this is perfect !

@MrNichollTV 11 лет назад

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.

@jhliang2009 10 лет назад

Thank you very very much! It is very helpful!

@racerx1326 11 лет назад

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

@MrNichollTV 11 лет назад

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

@sitkin1 10 лет назад

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

@Virus95j 11 лет назад

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

@Virus95j 11 лет назад

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