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Math Help - multivariable

  1. #1
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    multivariable

    given that f(x,y)= 6(1-y) for 0<x<y<1

    find P(Y>3 l x=0.5)

    i know that the denominator is the marginal density of x=0.5 but how do i find the numerator since the given condition is a constant..how do i know the range that x varies if i were to use double integral?

    thanks
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  2. #2
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    Quote Originally Posted by alexandrabel90 View Post
    given that f(x,y)= 6(1-y) for 0<x<y<1

    find P(Y>3 l x=0.5)

    i know that the denominator is the marginal density of x=0.5 but how do i find the numerator since the given condition is a constant..how do i know the range that x varies if i were to use double integral?

    thanks
    The numerator is of the conditional pdf is f(x, y) which you are given. Then calculate Pr(Y > 3 | X) and substitute x = 0.5 into the result.

    You are advised to review examples from your textbook or class notes.
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