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Math Help - Discrete joint distribution

  1. #1
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    Post Discrete joint distribution

    Question 3:

    If joing prob dist of X and Y is given by :

    F(x,y) = x+y/30, x=0 1 2 3 , y=0 1 2

    find P(X>Y)
    Does it mean integrate from value 2 to 3 ?
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  2. #2
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    Quote Originally Posted by hazel View Post
    Question 3:

    If joing prob dist of X and Y is given by :

    F(x,y) = x+y/30, x=0 1 2 3 , y=0 1 2

    find P(X>Y)
    Does it mean integrate from value 2 to 3 ?
    You only integrate when the random variable is continuous. From what you posted, it's pretty obvious that X and Y are taking on discrete values and are therefore discrete random variables.

    Pr(X > Y) = Pr(X = 1 and Y = 0) + Pr(X = 2 and Y = 0) + Pr(X = 2 and Y = 1) + ......
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  3. #3
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    understood

    ok this is clear.

    Thanks.
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