Let X be a random variable with probability mass function P(X = 1) = P(X = 2) = P(X = 5) = alk NIP (a) Find a function g such that Eg(X)] = = In(2) + In(5). Your answer should give at least the values g(k) for all possible values k of X, but you can also specify g on a larger set if possible. (b) Let t be some real number. Find a function g such that 5 Eg(X)] = + + (c) Find a function g such that Efg( X)) = 2