Two boxes each contain three cards. The first box contains cards labelled 1, 3 and 5; the second box contains cards labelled 2, 6 and 8. In a game, a player draws one card at random from each box and his score, X, is the sum of the numbers on the two cards.

(a) Obtain the six possible values of X and find the corresponding probabilities.

(b) Calculate E(X), E(X2) and the variance of X. (C Additional)