I have these pmf for X and Y: X=x= ( 0 1 2 3) and their corresponding probabilities are given by P(X=x)=( 0.3 0.2 0.4 0.1)
Y=y=( 0 1 2) and P(Y=y)=( 0.4 0.2 0.4)
I want to find the Probability density functions of W=X+Y with probability tree diagram.