Question
State which of the following are not the probability distribution of a random variable. Give reasons for your answer.
|
X |
0 |
1 |
2 |
3 |
4 |
|
P(X) |
0.1 |
0.5 |
0.2 |
-0.1 |
0.3 |
Solution
|
X |
0 |
1 |
2 |
3 |
4 |
|
P(X) |
0.1 |
0.5 |
0.2 |
-0.1 |
0.3 |
Here P(X) = -0.1 for X = 3
This is not possible as 0 ≤ P(X) ≤ 1
∴ given distribution is not a probability distribution of a random variable
