Question
In: Statistics and Probability
Find the mean and standard deviation of the following probability distribution. x 0 0.8 1 2.3...
Find the mean and standard deviation of the following probability distribution. x 0 0.8 1 2.3 3 P(x) 0.27 0.18 0.06 0.19 0.30
Solutions
Expert Solution
Solution:
| x | P(x) | x * P(x) | x2 * P(x) |
| 0 | 0.27 | 0 | 0 |
| 0.8 | 0.18 | 0.144 | 0.1152 |
| 1 | 0.06 | 0.06 | 0.06 |
| 2.3 | 0.19 | 0.437 | 1.0051 |
| 3 | 0.3 | 0.9 | 2.7 |
| Sum | 1 | 1.541 | 3.8803 |
Mean = 
X * P(X)
= 1.541
Standard deviation = 
=
X
2 * P(X) -
2
= 3.8803
- (1.541)2 = 1.505619
Standard deviation =
= 1.2270
orchestra answered 2 years agoRelated Solutions
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