Question

determine whether this table represents a probability distribution.

x	p(x)
0	0.1
1	0.05
2	0.3
3	0.6

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

Explanation:

Step1: Check probability range

All probabilities $P(x)$ in the table are between 0 and 1 (i.e., $0\leq0.1\leq1$, $0\leq0.05\leq1$, $0\leq0.3\leq1$, $0\leq0.6\leq1$).

Step2: Check sum of probabilities

Calculate the sum of probabilities: $0.1 + 0.05+0.3 + 0.6=1.05$. In a probability - distribution, the sum of all probabilities must equal 1. Since $1.05
eq1$, this is not a probability distribution.

Answer:

No, it is not a probability distribution