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Math Help - The method of distribution function: finding the area of integration?

  1. #1
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    The method of distribution function: finding the area of integration?

    The joint distribution of the amount of pollutants of a smokestack without cleaning device(y1) and with a cleaning device(y2) is given
    f(y1,y2)= 1, 0</y </ 2 , 0 </ y2 </ 1, 2y2 </ y1
    0 elsewhere

    find the density of U= Y1-Y2.

    now my problem is setting up the integral. I just can't figure out the limits of integration!
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  2. #2
    MHF Contributor matheagle's Avatar
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    Does this mean... 0</y </ 2 , 0 </ y2 </ 1, 2y2 </ y1

    less than or equal?

    This is continuous so there no need to write \le anyhow

    AND I'm guessing that the first variable is y1 not y
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