Probability distribution of random variable X is
X -2 -1 0 1 2 P(X) 2/11 1/11 4/11 3/11 1/11
Then the value of E(X) is
Probability distribution of random variable X is
| X | -2 | -1 | 0 | 1 | 2 |
|---|---|---|---|---|---|
| P(X) | 2/11 | 1/11 | 4/11 | 3/11 | 1/11 |
Then the value of E(X) is
Solution
✅ Correct Option: 1
The expected value of a random variable is calculated by multiplying each value by its probability and summing the results.
Creating a table to organize the calculations:
| X | P(X) | X × P(X) |
|---|---|---|
| -2 | 2/11 | (-2) × (2/11) = -4/11 |
| -1 | 1/11 | (-1) × (1/11) = -1/11 |
| 0 | 4/11 | (0) × (4/11) = 0 |
| 1 | 3/11 | (1) × (3/11) = 3/11 |
| 2 | 1/11 | (2) × (1/11) = 2/11 |
Adding all values from the last column:
Therefore, the value of
Related questions:
2026: 25 May Shift 1
2025: 26 May Shift 2
2026: 22 May Shift 1
2025: 22 May Shift 2