Questions below

Problem 5. In the current problem we will try to address a learning problem: determining which of the parameters 01 or 92 is the correct one. Using the marginal probability that you computed 1n Problem 4, compute the posterior probability P(31|aabb). The quantity that you computed should be greater than P(9;|aabb). Why is this true? Problem 6. Find a string c (consisting of a's and b's) such that P(9_i|c) is greater than the value P(9-i|aabb) that you found in the previous problem. How did you construct this string? Problem 7. Find a string c such that P(6-i|c)