# Math Help - If X and Y are independent RVs...

1. ## If X and Y are independent RVs...

Can we say that kX and Y are independent RVs for any real constant k?

2. ## Re: If X and Y are independent RVs...

Hey Jame.

The answer is yes. You can prove this by showing that if Z = kX, then the PDF P(Z = z, Y = y) = P(Z=z)*P(Y=y). As long as you can show this separable property, you will always be able to show independence.