Final answer:
The given probability distribution for the random variable x is valid. It is a discrete probability distribution, and each probability value is between zero and one (inclusive) with the sum of the probabilities equal to 1.
Step-by-step explanation:
The given probability distribution for the random variable x is valid. It is a discrete probability distribution because the random variable takes on a finite number of values. The values that the random variable may take on are 0, 1, 2, 3, 4, 5. Each probability value is between zero and one (inclusive) and the sum of the probabilities is equal to 1.