Suppose a decision maker has a utility function and is faced with a lottery where there is a 30% chance of earning $30 and a 70% chance of earning $80. What is the expected utility of this lottery?单项选择题

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Which  bets would a rational person definitely want to take, assuming they  maximize expected utility: I. Win $1.5 if a coin comes up heads and lose $1 if a coin comes up tails II. Win $1.5 million if a coin comes up heads and lose $1 million if a coin comes up tails III. Win $1.5 if the S&P 500 rises by more than 10% next year; lose $1 if the S&P falls by more than 10% next year

[continues question 5] Then, given Jordan utility function, 

Consider the risky investment we considered in class: Emma is considering buying a stock that has a 50% chance of being worth 10 and a 50% chance of being worth 70 at the future date on which she would want to sell the stock. Suppose Emma does some more analysis and changes her mind about the subjective probability distribution. The stock actually has a 50% chance of being worth 0 and a 50% chance of being worth 80. Given this change, which of the following statements is true?

Consider the risky investment we considered in class: Emma is considering buying a stock that has a 50% chance of being worth 10 and a 50% chance of being worth 70 at the future date on which she would want to sell the stock. Suppose Emma does some more analysis and changes her mind about the subjective probability distribution. The stock actually has a 50% chance of being worth 0 and a 50% chance of being worth 80. Given this change, which of the following statements is true?

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