Question

determine whether this table represents a probability distribution.

x	p(x)
0	0.2
1	0.1
2	0.25
3	0.4

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

Explanation:

Step1: Check non - negativity

All $P(x)$ values ($0.2, 0.1, 0.25, 0.4$) are non - negative.

Step2: Sum the probabilities

$0.2 + 0.1+0.25 + 0.4=0.95
eq1$

Answer:

No, it is not a probability distribution