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.