A fair die is tossed twice. The sum of the outcomes is denoted by X and the largest value by Y . (a) Calculate the joint probability mass function of X and Y ; (b) find the marginal probability mass...

A fair die is tossed twice. The sum of the outcomes is denoted by X and the largest value by Y . (a) Calculate the joint probability mass function of X and Y ; (b) find the marginal probability mass functions of X and Y ; (c) find E(X) and E(Y ).