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

FalTorPan

Vice Admiral
Admiral
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.
 
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