Please provide steps and explanations for how you came to your answers.

You flip a fair coin 3 times and get a different amount of money depending on how many heads you get. For 0 heads, you get $0. For 1 head, you get $2. For 2 heads, you get $4. Another piece of information is also flashing at you as you stand before the lights: Overall, across all possible outcomes your expected winnings from the game are $6. 1. (3 points) How much do you get paid if the coin comes up heads 3 times? 2. (3 points) Write down a complete expression for the cumulative probability function for your winnings from the game