Homework SourseThe number of complaints per day X received by a cable TV di
The number of complaints per day, X, received by a cable TV distributor has the probability distribution
x
0
1
2
3
f(x)
0.2
0.3
0.1
0.4
Find the standard deviation of the number of complaints.
Round to three decimal places.
| x | 0 | 1 | 2 | 3 |
| f(x) | 0.2 | 0.3 | 0.1 | 0.4 |
Solution
Consider the table:
Thus,
Var(x) = E(x^2) - E(x)^2 = 1.41
s(x) = sqrt(Var(x)) = 1.187434209 [ANSWER]
| x | P(x) | x P(x) | x^2 P(x) |
| 0 | 0.2 | 0 | 0 |
| 1 | 0.3 | 0.3 | 0.3 |
| 2 | 0.1 | 0.2 | 0.4 |
| 3 | 0.4 | 1.2 | 3.6 |
