Question

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

z	3	2	1	0	-1
P(z)	0.3	0.2	0.4.	0.05	0.05

Answer 1

Here, pi > 0, `AA` i = 1, 2, ...5
Now consider
\[\sum\limits_{i=1}^{3} \text{P}_i\] = 0.3 + 0.2 + 0.4 + 0.05 + 0.05 = 1
∴ Given distribution is a probability distribution.