Discrete Random Variable

Question

Could you please help me with the following question

 

Question: Is the following a Discrete Random Variable? If not, give a reason.

 

P(X=x) = x/6, where X = 0, 1, 2, 3

 

Thank you in advance

Answer 1

Yes because X = {0,1,2,3} as opposed to x=[0,3]

 

That is x can only have values of 0,1,2, or 3 and not any fractions, rational, or irrational numbers in between