Consider the following two games. In game 1, the coin is tossed. If it lands Heads, you get 42, if it lands Tails, you get 14. In game 2, the die is rolled. If result is 4, you get 40, if results is 3, you get 30; otherwise, you get 10. (a)Calculate and compare the expected values and the variances for both games. (b) Find cumulative distribution functions Fcoin(x) and Fdie(x) and plot them on the same graph. Does one of them first-order stochastically dominate (FOSD) the other? Why or why not? Remember the definition: F first-order stochastically dominates G if for all x, F(x) <= G(x)