Question
Download Solution PDFनिम्न वितरण के लिए तीसरा क्रमगुणित आघूर्ण है:
| X: | -1 | 0 | 1 |
| p(x): | 0.3 | 0.5 | 0.2 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसही उत्तर -1.8 है।
Key Points
- मूलबिंदु \((\mu'_r)\) के परितः rवां क्रमगुणित आघूर्ण
- सांख्यिकी के प्रायिकता सिद्धांत में, rवां क्रमगुणित आघूर्ण (यहाँ, rवां एक यादृच्छिक चर) एक गणितीय राशि है, जिसे घटने वाले भाज्य की अपेक्षा के रूप में परिभाषित किया जाता है।
- माना, X के मान x1, x2, x3, ... xn होते हैं।
|
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 |
|
योग: |
- |
-0.1 |
0.5 |
0.1 |
- दी गई श्रेणी का तीसरा क्रमगुणित आघूर्ण आघूर्ण
= -0.1 - 3*0.5 + 2*(-0.1)
= -0.1 - 1.5 - 0.2
= -1.8
इसलिए, सही उत्तर (-1.8) है।
Last updated on Jul 14, 2025
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