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Math Help - 2D table of random variables

  1. #1
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    Question 2D table of random variables

    We have two random variables.

    2D table of random variables-randomx.jpg

    2D table of random variables-randomy.jpg

    I would like to know how to get the probabilities p1, p2, p3 ... of two random variable in a table?

    2D table of random variables-2d.jpg

    I just know that the sum of all probabilites p1, p2, p3... must be equal to 1!
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  2. #2
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    Re: 2D table of random variables

    Quote Originally Posted by Nforce View Post
    We have two random variables.
    Click image for larger version. 

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    Click image for larger version. 

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    I would like to know how to get the probabilities p1, p2, p3 ... of two random variable in a table?
    Click image for larger version. 

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    I just know that the sum of all probabilites p1, p2, p3... must be equal to 1!
    Just let m=1,~2,~3~\&~n=1,~2,~3 form a matrix J=\left(a_{m,n}\right) where a_{m,n}=P(x_m)\cdot P(y_n).
    Thanks from Nforce
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  3. #3
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    Re: 2D table of random variables

    Thank you, the sum is really 1. Can I ask is this a general rule? Is correlation or dependence effect this?
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