4. We are given the following joint distribution over the random variables A, B, C, and D. Please answer the following questions. Show the necessary tables. You can (and should) share computations between different parts of the question. Usage of TableCPD is recommended A T B C D P(A,B,C,D) T T T 0.0448 T T T F 0.0252 T T F T 0.0112 T T F F 0.0588 T F T T 0.0144 T F T F 0.0144 T F F T 0.0096 T F F F 0.0216 F T T T 0.1024 F T T F 0.0576 F T F T 0.0256 F T F F 0.1344 F F T T 0.1152 F F T F 0.1152 F F F T 0.0768 F F F F 0.1728 a. Are A and B independent? b. Are A and C independent? c. Are A and C independent given B? d. Are A and D independent? e. Are A and D independent given C?