Determine whether the distribution is a discrete probability

Determine whether the distribution is a discrete probability distribution

x       1    2   3       4      5

p(x) 0.2   0.2     0.2 0.2     0.2

Is the distribution a discrete probability distribution?

A. No, because one probability is less than 0.

B. No, because the sum of the probabilities is not 1.

C. No, because one probability is greater than 1.

D. Yes, because the probabilities meet all the conditions.

Solution

sum of probability = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1

and P(x) >0

hence correct choice is D. Yes, because the probabilities meet all the conditions.