The carnival gambling game called "chuck-a-luck" consists of the player betting on one of the numbers 1 through 6. Then three dice are rolled, and if the number bet by the player appears i times (i = 1, 2, 3) then the player wins i dollars. If the number bet on by the player does not appear, then the player loses 1 dollar. Find the expected value (mean) and variance of X for the game