A bucket is filled with 3 red balls, 7 orange balls, and 5 green balls. All red balls have the number 5 written on them, all orange balls have the number 2 written on them, and all green balls have the number 3 written on them. Anne reaches in the bucket and randomly selects two balls at once. Let X be the value obtained by adding the numbers on the two selected balls. (a) Find the probability distribution for the variable