Fifteen items or less: The number of customers in line at a supermarket express checkout counter...
Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution.
|
x |
0 |
1 |
2 |
3 |
4 |
5 |
|---|---|---|---|---|---|---|
|
Px |
0.05 |
0.25 |
0.35 |
0.20 |
0.10 |
0.05 |
Compute the standard deviation σX. Round the answer to at least three decimal places.
Homework Answers
Solutionj:
| x | P(x) | x * P(x) | x2 * P(x) |
| 0 | 0.05 | 0 | 0 |
| 1 | 0.25 | 0.25 | 0.25 |
| 2 | 0.35 | 0.7 | 1.4 |
| 3 | 0.2 | 0.6 | 1.8 |
| 4 | 0.1 | 0.4 | 1.6 |
| 5 | 0.05 | 0.25 | 1.25 |
| Sum | 1 | 2.2 | 6.3 |
Mean = 
X * P(X)
= 2.2
Standard deviation = 
=
X
2 * P(X) -
2
= 6.3
- (2.2)2 = 1.46
Standard deviation =
= 1.208
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Fifteen items or less: The number of customers in line at a
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