In order to get a full credit, you need to show all work. 1) An octahedron is a solid with eight faces. Each face is shaped like a triangle with four faces a “1” is painted. On three faces a “3” is painted. And, on one face a “5” is painted. The experiment consists of tossing the solid twice, and X is the sum of the numbers on the top face each time. a) List the possible values of X. (Use a table to show the sample space.) Hint: Think about tossing 2 fixed dice. b) Compute the probability distribution for X to four decimal places. c) State the meaning of P(X).