Question

Determine whether the distribution represents a probability distribution. If not, identify any requirements that are not satisfied.

Answer 1

The probabilities are given in the second column of the above table :

$0.031,0.156,0.313,0.313,0.156,0.031$

Add all probabilities :

$$0.031+0.156+0.313+0.313+0.156+0.031=1$$

The table describes the probability distribution, because all the individual probabilities are between 0 and 1, and the sum of the probabilities is equal to 1.

Answer: This is a probability distribution.