For the following joint distribution

---YX- 1-- 2

0 .02 .08

1 .11 .44

2 .07 .28

(i) Calculate the marginal distribution for each of X and Y

(ii) Find

a) P(X >= 1)

b) P(X = 1 | Y = 2)

(iii) Indicate if X and Y are independent, justifying your answer.