Question

determine whether this table represents a probability distribution.

$x$	$p(x)$
1	0.05
2	0.3
3	0.3

no, it is not a probability distribution
yes, it is a probability distribution

Explanation:

Step1: Check non - negativity

All $P(x)$ values $0.3, 0.05, 0.3, 0.3$ are non - negative.

Step2: Check sum of probabilities

Calculate $\sum_{x}P(x)=0.3 + 0.05+0.3 + 0.3=0.95
eq1$.

Answer:

No, it is not a probability distribution