Consider the following joint probability mass function p(x,y) of discrete random variable X and Y. The potential values of X and Y are 0,1, and 2.

p(0,0)=.1

p(0,1)=.2

p(0,2)=0

p(1,0)=.3

p(1,1)=.3

p(1,2)=0

p(2,0)=0

p(2,1)=0

p(2,2)=.1

p(0,0)

1) compute v(y)

2) compute v(x+y)

3)Compute P(X=0|Y=0) i.e. the conditional probability that X=0 given Y=0.

4)Compute P(X=0)

5)Determine whether X and Y are independent by comparing P(X=0) and P(X=0|Y=0).?