The table defines a discrete probability distribution. Find the expected value of the distribution. x 7...
The table defines a discrete probability distribution. Find the expected value of the distribution.
| x | 7 | 8 | 9 | 10 |
|---|---|---|---|---|
| Pr(x) | 1/3 | 1/3 | 1/3 | 0 |
Homework Answers
Solution,
| x | p(x) | x * p(x) |
| 7 | 0.333 | 2.33 |
| 8 | 0.333 | 2.66 |
| 9 | 0.333 | 3.00 |
| 10 | 0 | 0 |
 |
1 | 7.99 |
Expected value =
x * p(x) = 7.99
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