We have two fair three-sided dice, indexed by =1,2 . each die has sides labelled 1 , 2 , and 3 . we roll the two dice independently, one roll for each die. for =1,2 , let the random variable represent the result of the th die, so that is uniformly distributed over the set {1,2,3} . define =− . calculate the numerical values of following probabilities, as well as the expected value and variance of : (a) p(x = 0) = (b) p(x = 1) = (c) p(x = −2) = (d) p(x = 3) = 2. let y = x2 . calculate the following probabilities: (a) p(y = 0) = (b) p(y = 1) = (c) p(y = 2) =