Final answer:
The set S can be represented as {1, 2, 3}. The values that X may take on are 1, 2, 3. The distribution of X is X~P(3), with equal probabilities for each value.
Step-by-step explanation:
The set S can be represented using the listing method as follows: {1, 2, 3}.
b. The values that X may take on are 1, 2, 3.
c. The distribution of X is X~P(3), which means that the probability of each value in X is equal to 1/3.
d. The question does not provide any information about choosing athletes, so it is not related to this scenario.