Question
State which of the following are not the probability distribution of a random variable. Give reasons for your answer.
|
X |
0 |
1 |
2 |
|
P(X) |
0.4 |
0.4 |
|
Solution
|
X |
0 |
1 |
2 |
|
P(X) |
0.4 |
0.4 |
0.2 |
Now 0 ≤ P(X) ≤ 1
and Σ P(X) = 0.4 + 0.4 + 0.2 = 1
∴ given distribution is a probability distribution of a random variable.
