Final answer:
The distribution is not a discrete probability distribution because the sum of probabilities is not equal to 1.
Step-by-step explanation:
A discrete probability distribution is a type of probability distribution where the random variable takes on a finite or countable number of values, and each value has a probability associated with it. In this case, we have the values -2, 6, and 8 with corresponding probabilities of 0.58, 0.34, and -0.38 respectively.
The sum of the probabilities should equal 1, but in this case, the sum is not equal to 1 because the probability for the third value (-0.38) is negative, which is not possible in a probability distribution. Therefore, the given distribution is not a discrete probability distribution.