5.11. Consider the following game that involves a fair coin (the probability of heads equals 0.5; the probability of tails equals 0.5). The coin will be flipped; if it is heads, the player gets $2,000; if it is tails, the coin will be flipped a second time. If the second flip is heads, the player gets $4,000; if it is tails, the coin will be flipped again. If the third flip is heads, the player gets $8,000; if it is tails, the coin will be flipped again. If the fourth flip is heads, the player gets $16,000; if it is tails, the coin will be flipped again. If the fifth flip is heads, the player gets $32,000; if it is tails, the game ends, and the player gets nothing. Joe (who is risk neutral in this situation) is given the opportunity to play this game under the following conditions: he will pay $3,000 and then win some amount or nothing based on the coin flips. Draw a decision tree for Joe's decision; should he play