An integer N is chosen from 1 to 10 uniformly at random. Two random variables are defined: X is 1 plus the remainder on division of N by 3. So e.g. when N = 5, the remainder on division by 3 is 2, so X = 3. Y is N/3. So e.g. when N = 5, Y = 2. (a) Find E[X], E[Y ] and Var[Y ]