Problem 1[5|Zl points] Suppose that two investments have the same three payoffs. but the probability associated with each payoff differs. as illustrated in the table below: Probability [Investment Ii Probability {lnvsohnsnt II} I\" W\" I\"\" a. Find the expected return and standard deviation of each investment. [2t] points] b. Jill has the utility function [i = 5!, where I denotes the payoff. Which investment will she choose? [1l'l points] Ken has the utility function ti = st\". Which investment will he choose? [in points] d. Laura has the utilityr function [I = 512. Which investment will she choose? [1 ll points] Problem 2 [50 points] Suppose that Eva's utility function is given by HT!) = I\