Question

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

y	–1	0	1
P(y)	0.6	0.1	0.2

Answer 1

Here, pi > 0, `AA` i = 1, 2, 3
Now Consider,
\[\sum\limits_{i=1}^{3} \text{P}_i\] = 0.6 + 0.1 + 0.2 = 0.9 ≠ 1
∴ Given distribution is not a probability distribution.