(PP 3.1) Random Variables - Definition and CDF

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Uploaded by on Jun 4, 2011

(0:00) Intuitive examples.
(1:25) Definition of a random variable.
(6:10) CDF of a random variable.
(8:28) Distribution of a random variable.


A playlist of the Probability Primer series is available here:
http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4

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Uploader Comments (mathematicalmonk)

  • In the definition of a random variable, what is the purpose of x as an upper boundary to X(ω)?

  • @alkalait The condition that

    {omega : X(omega)<=x} is in A

    is saying that this set of omegas is measurable. (It's not saying that X(omega) is upper bounded by x.) This is a somewhat technical condition on random variables. If you are in a measure-theoretic probability class, it is important, but otherwise you don't need to worry about this --- the main thing to know is that a random variable is a function from Omega to R.

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