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1. A decision is to be made from two possible events with probabilities of 0.1 and 0.9. What is the Hmax for this decision? Calculate the % Redundancy of this decision task.
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2. Calculate the information associated with a 3-alternative decision, with probabilities of 0.6, 0.1, and 0.3.
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3. Consider Question 6 again with unequally-likely digits. The probabilities of the digits appearing are shown below. Determine both the channel capacity and the redundancy.
Digit: 2 3 5 6 7 8
Probability: 0.8 0.2 0.5 0.1 0.2 0.8
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4. How much information (H) is contained in a fair 4 roll of a 6-sided die? If an individual realizes that the die is unfair, with a 20% chance of each of 4 sides appearing and 10% on each of the other two, how does H change? What does this mean?
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