The number of goals scored in a hockey match between the home team (X) and the visiting team (Y), respectively follows each of the probability distributions given below:

x 0 1 2

P(X=x) 0.1 0.5 0.4

y 0 1
P(Y=y) 0.40 0.60

Assume that X and Y are independent.

(i) Find the probability distribution of T = X + Y. (That is, all possible values of T in the increasing order and the associated probabilities must be given in a table.)

(ii) Find E(T), that is, the expected value of T = X + Y.