Answer
The distribution is according to the Rules for a Discrete Probability Distribution.
Work Step by Step
1) $ΣP(x)=P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)=0+0.161+0.261+0.176+0.186+0.116+0.055+0.025+0.010+0.010=1$
2)
$0\leq P(0)\leq1$
$0\leq P(1)\leq1$
$0\leq P(2)\leq1$
$0\leq P(3)\leq1$
$0\leq P(4)\leq1$
$0\leq P(5)\leq1$
$0\leq P(6)\leq1$
$0\leq P(7)\leq1$
$0\leq P(8)\leq1$
$0\leq P(9)\leq1$
