Suppose I play a gambling game where I either win or lose k dollars. Suppose further that the chance of winning is p = 0.5. I employ the following strategy to try to guarantee that I win some money. I bet $1. If I lose, I double my bet to $2. If I lose again, I double my bet again to $4. If I lose again, I double my bet again to $8. I continue until I win. LetX be the amount of money that I bet on the last game. (a) {3 points) What is the net amount of money that I can win? (b) [6 points] Find the expected value of X. (c) [3 points] Discuss if this strategy makes sense or not