A gambling game at a local carnival is played as follows: each time someone plays the game, he or she pays $3. A fair die is rolled, and if the die has an even roll (e.g. 2, 4, or 6), he or she wins nothing. If it is an odd roll, he or she wins the amount of money (in dollars on the face of the die—e.g. if he or she rolls a 1, he or she wins $1; a 3, he or she wins $3; a 5, he or she wins $5). The random variable [tex]X[/tex] represents the amount he or she wins per play of the game, not including how much he or she pays.

Part 1: Complete the given table.
Part 2: How much can someone expect to win on average per play of the game? Should he or she pay $3 to play this game? Why or why not?