Question: A die has one spot painted on one face, two spots painted on each of two faces, and three spots painted on each of three faces. The die is rolled twice.
a) Calculate the distribution of the sum S2 of the numbers on the two rolls. Display your answer in a table.
b) Calculate the numerical value of E(S2) in two different ways to check your answer to a).
c) Calculate the standard deviation of S2.