Question

Determine whether each of the following is a probability distribution. Give reasons for your answer.

x	0	1	2
P(x)	0.3	0.4	0.2

Answer 1

Here, pi > 0, `AA` i = 1, 2, 3
Now consider,
\[\sum\limits_{i=1}^{3} \text{P}_i\] = 0.3 + 0.4 + 0.2 = 0.9 ≠ 1
∴ Given distribution is not a probability distribution.