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Math Help - Joint Density Problem Help!

  1. #1
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    Joint Density Problem Help!

    .........................
    Last edited by Porter1; November 29th 2009 at 08:34 PM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    E(Y_1)=\int_0^1\int_0^1 y_1f(y_1,y_2)dy_1dy_2

    E(Y^2_1)=\int_0^1\int_0^1 y_1^2f(y_1,y_2)dy_1dy_2

    E(Y_2)=\int_0^1\int_0^1 y_2f(y_1,y_2)dy_1dy_2

    E(Y_2^2)=\int_0^1\int_0^1 y_2^2f(y_1,y_2)dy_1dy_2

    E(Y_1Y_2)=\int_0^1\int_0^1 y_1y_2f(y_1,y_2)dy_1dy_2

    V(X)=E(X^2)-(E(X))^2
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  3. #3
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    Thanks, but im still confuse about solving (b) and (c) for the equation you gave me.
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  4. #4
    MHF Contributor matheagle's Avatar
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    I didn't do (c).
    I'm waiting for you to show some of your work from (a) and (b).
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  5. #5
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    ...................
    Last edited by Porter1; November 29th 2009 at 08:34 PM.
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  6. #6
    MHF Contributor matheagle's Avatar
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    you need to review calc 1

    \int xdx={x^2\over 2} +C and \int x^2dx={x^3\over 3} +C
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  7. #7
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    ..................
    Last edited by Porter1; November 29th 2009 at 08:34 PM.
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