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    Marginal and conditional density

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    A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco.
    The proportion of Turkish and domestic in a blend are random variables (X = Turkish and Y = domestic) with joint density function

    f (x,y) = { 24xy, 0 < or= x < or=1, 0 < or = y < or=1
    x + y < or=1
    0, elsewhere
    A. Find the marginal density for the proportion of the domestic tobacco.
    B. Find the conditional density of X given Y = 3/4
    C. Find the probability that the proportion of Turkish tobacco is less than 1/8, given that the blend contains 3/4 domestic tobacco.

    PLEASE SEE ATTACHED FILE FOR CLEARER, TYPED COPY OF THE QUESTION.

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    https://brainmass.com/math/probability/marginal-conditional-density-2546

    Solution Summary

    The solution shows how to find marginal and conditional density for a given situation.

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