Consider a person with an initial wealth level of 100 who faces a change to win 20 with probability 1/2 and to lose 20 with probability 1/2.
A. What is the expected value of the gamble? Is this gamble fair or better than fair?
B. If this person's utility function is given by U(X)=sqrt(X), will she accept this gamble?
C. If this person's utility function is given by U(X)=X, will she accept this gamble?