Please help, Math- Sophie the stealth Sharp shooter challenges you to a game of chance. She charges you $25 to get a chance to shoot at a target. if you hit the bullseye, you get a $100 (win$75). If you miss the bullseye but are within two circles of it, you get your money back. Over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles. All other contestants miss by further and lose. Make a distribution table of the situation.
What is the expected amount for you to win or lose?
How much money would you expect Sophie to win or lose if 100 people played the game?
What should she charge to make this game fair?
Show work, please