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मानें कि X1, X2, ...  i.i.d. यादृच्छिक चर हैं जिनका χ2-बंटन है तथा स्वतंत्रता की कोटि 5 है। मानें a ∈ \(\mathbb{R}\) स्थिरांक है। तब \(a\left(\frac{X_1+\cdots+X_n-5 n}{\sqrt{n}}\right)\)का सीमांत बंटन है

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CSIR-UGC (NET) Mathematical Science: Held on (26 Nov 2020)
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  1. गामा बंटन, a के उपयुक्त मान के साथ
  2. χ2-बंटन, a के उपयुक्त मान के साथ
  3. मानक प्रसामान्य बंटन, a के उपयुक्त मान के साथ
  4. अपभ्रष्ट (degenerate) बंटन, a के उपयुक्त मान के साथ

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Option 3 : मानक प्रसामान्य बंटन, a के उपयुक्त मान के साथ
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