1. The problem statement, all variables and given/known data Suppose X is a discrete random variable with probability mass function pX(x)=1/5, if x=-2,-1,0,1,2 pX(x)=0, otherwise Let Y=X2. Are X and Y independent? Prove using definitions and theorems. 2. Relevant equations 3. The attempt at a solution The random variables X and Y are independent <=> pX,Y(x,y)=pX(x)pY(y) for ALL x,y E R But the trouble here is that we don't have pX,Y(x,y) and pY(y). What can we do? Thanks for any help!