1. (15 points) Regarding "Entropy and Randomness": (a) (2 points) What is the amount of information you obtain when you are told about the outcome of a probabilistic experiment? b) (2 points) What unit is used to measure the amount of information? c) (5 points) What is the definition of Shannon's Entropy? (d) (2 points) What are the properties of Shannon's Entropy? (e) (2 point) What is the amount of information you obtain after seeing the outcome of a fair coin flipping