At an unconventional casino you bet on the roll of an 18-sided die. If you roll a 7, you win $2. If you roll a 1 or 18, you win $1. If you roll a 13 you lose $3. If you roll any other number, you lose $1 to the casino. Let X denote the amount of money you "win" from playing this game once. a. Fill in the table to create a probability distribution for X. Use fractions or decimals rounded to three decimal places when necessary. Please enter values into the table as they were introduced in the paragraph above. X P(x) 2 1 18 61 18 61 b. Find the expected profit. Round to the nearest cent (two decimal places). -1 c. Is this game profitable for you? How does the expected value tell you whether it is profitable or not?