In a game of craps, you roll two fair dice. Whether you win or lose depends on the sum of the numbers occurring on the tops of the dice. Let x be the random variable that represents the sum of the numbers on the tops of the dice. (a) What values can x take on? (Enter your answers as a comma-separated list.) (b) What is the probability distribution of these x values (that is, what is the probability that x = 2, 3, etc.)? (Enter the probabilities ascending order of the x values. Round your answers to three decimal places.)

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