Final answer:
The values that Y may take on depend on the domain of Y, while constructing the PDF table requires knowledge of the probabilities associated with each value of X and Y.
Step-by-step explanation:
The values that Y may take on can be found by examining the domain of Y. In this case, the domain of Y is {0, 1, 2, ...}, which means Y can take on any integer starting from zero. To construct a PDF table that includes both X and Y and their probabilities, you will need to know the probabilities associated with each value of X and Y. Without that information, it is not possible to construct the PDF table.