Answer
The distribution is according to the Rules for a Discrete Probability Distribution.
Work Step by Step
1) $ΣP(x)=P(0)+P(1)+P(2)+P(3)+P(4)=0.073+0.117+0.258+0.322+0.230=1$
2)
$0\leq P(0)\leq1$
$0\leq P(1)\leq1$
$0\leq P(2)\leq1$
$0\leq P(3)\leq1$
$0\leq P(4)\leq1$