Question
In: Statistics and Probability
A certain probability distribution is given below. Find the mean and standard deviation. X 15.8 15.9...
- A certain probability distribution is given below. Find the mean and standard deviation.
|
X |
15.8 |
15.9 |
16.0 |
16.1 |
16.2 |
|
P(X=x) |
.1 |
.2 |
.4 |
.2 |
.1 |
Solutions
Expert Solution
Solution:
| x | P(x) | x * P(x) | x2 * P(x) |
| 15.8 | 0.1 | 1.58 | 24.964 |
| 15.9 | 0.2 | 3.18 | 50.562 |
| 16 | 0.4 | 6.4 | 102.4 |
| 16.1 | 0.2 | 3.22 | 51.842 |
| 16.2 | 0.1 | 1.62 | 26.244 |
| Sum | 1 | 16 | 256.012 |
Mean = 
X * P(X)
= 16
Standard deviation = 
=
X
2 * P(X) -
2
= 256.012
- (16)2 = 0.012
Standard deviation =
= 0.1095
orchestra answered 3 years agoRelated Solutions
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