Suppose X is a discrete random variable with probability mass function
pX(x)=1/5, if x=-2,-1,0,1,2
Let Y=X2. Are X and Y independent? Prove using definitions and theorems.
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!