4.7 From joint PMF to others. RVs (X,Y) have the following PMF

Y\X 1 2 3 4 5 6

1 0.01 0.04 0.04 0.05 0.06 0.01

2 0.01 0.06 0.05 0.07 0.05 0.02

3 0.04 0.09 0.03 0.05 0.05 0.03

4 0.01 0.05 0.04 0.06 0.06 0.02

Find the PMF of X, Y, U = max (X ,Y), V = min (X ,Y), and W = X + Y, respectively. Using python code