Question
Download Solution PDFमना कि X एक मानक सामान्य वितरण है। E (X3) का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या
सामान्य वितरण का प्रायिकता वितरण फलन हमें इस प्रकार दिया गया था:
⇒ F(x) =[1/σ√2π ]e-(x – μ)2/2σ2
यदि हम Z = (x - μ)/σ को सामान्य वितरण में रखते हैं तो इसे मानक सामान्य वितरण कहते हैं।
मानक सामान्य वितरण का प्रायिकता वितरण फलन इस प्रकार है।
⇒ f(x) = [1/σ√2π]e- z^2/2
एक मानक सामान्य वितरण में E(X3) का मान 0 है।
सामान्य वितरण का मानक विचलन = σ = 1
सामान्य वितरण का विषमता गुणांक β1 = 0 है।
सामान्य वितरण में कर्टोसिस गुणांक β3 = 3 है।Last updated on Jul 11, 2025
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