Since the data is given by a table of discrete points with the values of "x" and its associated probability "P (X = x)", and there is no more information about the rest of the possible values of "x" , the most appropriate is to consider it a discrete probability distribution.
If the table shows frequency of occurrence of the values of "x" and it is clarified that x can take continuous values in a given interval, a continuous probability distribution could be considered to model it.
