Two balls are chosen randomly from an urn containing 8 green, 4 black, and 2 orange balls. Suppose that we win $2 for each black ball selected, we lose $1 for each green ball selected, and we earn nothing for each orange ball selected. Let \(X\) denote our winnings.

1. Make a table with the possible values of \(X\) and the probabilities of each value.

2. Sketch the pmf of \(X\).

3. Sketch the cdf of \(X\).

4. Compute the expected value of \(X\).