Problem 14.4 (a). Find the value for p that makes you indifferent between Lottery 1 (Win $1000 with chance p, win $0 otherwise), and Lottery 2 (Win $400 for sure). (b) Now nd the 9 that makes you indifferent between Lottery 3 (W in $400 with probability 0.5, Win $0 otherwise) and Lottery 4 (Win $1000 with chance q, Win $0 otherwise). (c) According to your assessment in part (a), U($400) = p. In part (b), U($400) = 2.3. Explain why this is the case. ((1) To be consistent, your assessments should be such that p : 29. Were your assessments consistent? Would you change them? Which assessment do you feel most condent about? Why