6. (10 points) You are preparing for an oral exam on which you will be asked to solve a single problem. This problem can be one of two types: theory (T) or application (A). You estimate that the probability of a theory problem is 0.6 and the probability of an application problem is 0.4. (a) What is the information content of the outcome that the problem is a theory problem? (b) What is the entropy of the problem type