The correct statements regarding why the table does not represent a probability distribution are given by:
- The probability -1/3 is less than 0.
- The sum of the probabilities is 2/3.
What are the conditions for a probability distribution?
There are two conditions:
- All probabilities are positive values between 0 and 1.
- The sum of all probabilities is equals to 1.
In this problem, we have that result 10 has a probability of -1/3, hence this is one of the reasons.
The sum of the probabilities is given by:
[tex]-\frac{1}{3} + \frac{2}{5} + \frac{1}{5} + \frac{2}{5} = -\frac{1}{3} + 1 = \frac{2}{3}[/tex]
Sum of 2/3 is different than 1, hence this is the other reason.
More can be learned about probability distributions at https://brainly.com/question/24802582
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