The daily limit for catching bass at a lake is four The rand
The daily limit for catching bass at a lake is four. The random variable x and associated probability distribution is as such: P(no bass) is 0.1, P(1 bass) is 0.5, P(2 bass) is 0.20; P(3 bass) is 0.15 and P(4 bass) is 0.05. What is the mean number of bass caught in the lake in a day.
Solution
Consider:
Thus,
E(x) = Expected value = mean = 1.55 [ANSWER]
| x | P(x) | x P(x) |
| 0 | 0.1 | 0 |
| 1 | 0.5 | 0.5 |
| 2 | 0.2 | 0.4 |
| 3 | 0.15 | 0.45 |
| 4 | 0.05 | 0.2 |
