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Math Help - Probability Question, joint density functions

  1. #1
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    Probability Question, joint density functions

    Another question presented in lecture.

    Consider a random variable (X,Y) which is uniformly distributed over the triangle T = {(x,y) | x > 0, y > 0, x+y < 9}.

    a) Explain why X and Y are dependent (no calculations required).
    b) Find f_y(y), the marginal pdf of Y. Check that it is a probability density.
    c) For a fixed y ∈ (0,9), write down the set of values of x for which f_x|y=y (x|y) is non-zero.
    d) Find f_x|y=y (x|y) over the range that you derived in part d.
    e) Calculate Cov(X,Y).

    Thanks!
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  2. #2
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    Re: Probability Question, joint density functions

    Hey Radiance.

    Check your other thread for a response.
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