Your utility function is given by U = m where M is your wealth. Your initial wealth is Mo = $1, 000. You have a choice: take $100 in cash or flip a fair coin. If you flip a coin, the outcomes are as follows: heads, you win $225; tails, you lose $X. You will take the gamble if: '11:? x/f > #225 C} X > 1X1, 000 + 225' 1;} 0. Ely/225 + {15} > 1/1, 000 1;} 0. 51/1, 0' 00 + 225 + 0. 51/1, 000 X > 1,000 + 100