a=0 b=7 c = 6 if required

Two tire quality experts examine stacks of tires and assign quality ratings to each tire on a 3-point scale. Let X denote the grade given by expert A and Y denote the grade given by B. the following table gives the joint distribution for X and Y. Find expected value of X and expected value of Y. f(x,y) y

1 2 3 x 1 0.1 0.05 0.02

2 0.1 0.35 0.05

3 0.03 0.1 0.2