(a) You are told that a biased die with outcomes X 6 {1,...,6} has probability 0.4 of coming up X = 5 or X = 6, i.e. P(X = 5) + P(X = 6) = 0.4. Find the maxent distribution p(x) = P(X = x) given this constraint. Hint: The constraint can be written in terms of the average of a function f1(X ) which is defined as fi( X) = 1 for X = 5 or 6, and fi(X) = 0 otherwise. Find Z and F as usual, deduce (f1(X)), solve for $1