Problem 1. Suppose a die is rolled twice. i) What are the possible values that the following random variables (Z) can take on? (a) Z = The minimum value to appear in the two rolls. (b) Z = The sum of the two rolls. (c) Z = The value of the first roll minus the value of the second roll. ii) If the die above is assumed fair, built the probability distribution tables by calculating the probabilities associated with the random variables in (a)(c)