(Solved): The Ohio Lottery Commission has designed a new instant lottery in which each card consists of three ...

The Ohio Lottery Commission has designed a new instant lottery in which each card consists of three rows. Each row contains two boxes, one of which has the hidden value of $1 and the other has $5. The player scratches one box in each row. If all three uncovered amounts are the same, then the player wins that amount; otherwise, the players wins nothing. Use the following random variable to answer the questions in parts (a), (b), and (c):

X = the amount of money a player wins on one lottery ticket.

1. ????What are the possible values for this discrete random variable? (3 points)
2. ????Based on your answer to part (a) and your knowledge of probability theory, create a density function for this random variable. (9 points)
3. ????According to the formula, the expected value of X is 0.75. Explain what this number means in the context of this problem. (3 points)