Answer
The distribution is a discrete probability distribution.
Work Step by Step
The distribution obeys the Rules for a Discrete Probability Distribution (see page 323):
1) $∑P(x)=P(0)+P(1)+P(2)+P(3)+P(4)=0.2+0.2+0.2+0.2+0.2=1$
2) $0\leq P(0)\leq1$
$0\leq P(1)\leq1$
$0\leq P(2)\leq1$
$0\leq P(3)\leq1$
$0\leq P(4)\leq1$
