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Thread: Μarginal Distributions of f(x,y)

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    Μarginal Distributions of f(x,y)




    f(x,y) = e^(-x), 0<=x<inf, 0<=y<=1

    To find the marginal PDFs here is what I did so far:
    Marginal Distribution of x:
    f(x) = integral from 0 to 1, e^(-x)dy = ye^(-x)
    after evaluating I got e^(-x)

    Marginal Distribution of y:
    f(y) = integral from 0 to inf, e^(-x) = -e^(-x)
    after evaluating I got 1

    Am I evaluating each one using the wrong boundaries?

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    Re: Μarginal Distributions of f(x,y)

    No. Why do you think you did it wrong? It looks good to me. You just need to make sure to note what the support of your marginal distributions are.

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    Re: Μarginal Distributions of f(x,y)


    I thought that when I include the boundaries for the integrals that would cover the support of the marginal distributions

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