Question
Download Solution PDFFor the distribution
| X: | -1 | 0 | 1 |
| p(x): | 0.3 | 0.5 | 0.2 |
the third factorial moment is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is -1.8
Key Points
- rth factorial moment about origin \((\mu'_r)\)
- In probability theory of Statistics, the rth factorial moment is a mathematical quantity defined as the expectation of the falling factorial (here, rth of a random variable.
- Let, X assumes the values x1, x2, x3, ... xn
|
X: = Xi |
p(x) = Pi |
PiXi |
Xi2Pi |
Xi3Pi |
|
-1 |
0.3 |
-0.3 |
0.3 |
-0.3 |
|
0 |
0.5 |
0 |
0 |
0 |
|
1 |
0.2 |
0.2 |
0.2 |
0.2 |
|
Total : |
- |
-0.1 |
0.5 |
0.1 |
- third factorial moment of the given series
= -0.1 - 3*0.5 + 2*(-0.1)
= -0.1 - 1.5 - 0.2
= -1.8
Hence, the correct answer is (-1.8)
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