Stats Question: Multiplying Two Random Variables... and Variance

Discussion in 'Science and Technology' started by FalTorPan, Feb 7, 2009.

  1. FalTorPan

    FalTorPan Vice Admiral Admiral

    Jan 25, 2000
    Out there... thataway.
    I'm rusty with statistics. Let's say that I have two random variables X and Y. I know that the mean of X is meanX, the variance of X is varX, the mean of Y is meanY and the variance of Y is varY.

    I want to know the mean and variance of the product of X and Y. If memory serves, meanXY is just

    meanXY = meanX * meanY

    What is varXY? I don't remember, and a quick Google search hasn't revealed anything yet. I'll keep searching, but does anyone know this from off the top of his or her head?

    Thanks in advance.

    UPDATE: I found the answer.