The roll of a pair of dice has the following probability distribution, where the random variable is the sum of the values produced by each die:
a. Calculate the expected value of x.
b. Calculate the standard deviation of x.
c. Calculate the variance of x
| x |
P(x) |
| 2 |
1/36 |
| 3 |
2/36 |
| 4 |
3/36 |
| 5 |
4/36 |
| 6 |
5/36 |
| 7 |
6/36 |
| 8 |
5/36 |
| 9 |
4/36 |
| 10 |
3/36 |
| 11 |
2/36 |
| 12 |
1/36
|