6. Consider the following utility table as well as Case-1 and Case-2. Alternatives A1 A2 States of Nature S1 S2 4000 1000 8000 -1000 Probability 0.5 0.5 Case 1: The decision maker is indifferent between the following alternatives when p=0.7 Alternative 1: Receive 4000 with certainty. Alternative 2: Receive 8000 with probability p and lose 1000 with probability (1-2). P Case 1: The decision maker is indifferent between the following alternatives when p=0.4 Alternative 1: Receive 1000 with certainty. Alternative 2: Receive 8000 with probability p and lose 1000 with probability (1-P). a. Construct the utility table using 0 and 1 for endpoint utility values. (7P) b. Find the risk premiums in Case-1 and Case-2. (8P) 6. Consider the following utility table as well as Case-1 and Case-2. Alternatives A1 A2 States of Nature S1 S2 4000 1000 8000 -1000 Probability 0.5 0.5 Case 1: The decision maker is indifferent between the following alternatives when p=0.7 Alternative 1: Receive 4000 with certainty. Alternative 2: Receive 8000 with probability p and lose 1000 with probability (1-2). P Case 1: The decision maker is indifferent between the following alternatives when p=0.4 Alternative 1: Receive 1000 with certainty. Alternative 2: Receive 8000 with probability p and lose 1000 with probability (1-P). a. Construct the utility table using 0 and 1 for endpoint utility values. (7P) b. Find the risk premiums in Case-1 and Case-2. (8P)