The random variable X is the number of people who have a col
The random variable X is the number of people who have a college degree in a randomly selected group of four adults from a particular town. Its probability distribution is given in the table. Determine the expected number of adults in a group of four from this town that have a college degree. Round the answer to two places as needed.
x 0 1 2 3 4
P(X = x) 0.1296 0.3456 0.3456 0.1536 0.0256
Solution
Consider:
Thus,
E(x) = 1.6 [ANSWER]
| x | P(x) | x P(x) |
| 0 | 0.1296 | 0 |
| 1 | 0.3456 | 0.3456 |
| 2 | 0.3456 | 0.6912 |
| 3 | 0.1536 | 0.4608 |
| 4 | 0.0256 | 0.1024 |
