माना X प्रायिकता घनत्व फलन f(x) = 1/8; -3 < x < 5 के लिए एक सतत यादृच्छिक चर है। X के वितरण की माध्यिका है:

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. 1
  2. \(\sqrt { \dfrac{64}{12}}\)
  3. 0
  4. \( \dfrac{64}{12}\)

Answer (Detailed Solution Below)

Option 1 : 1
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प्रयुक्त अवधारणा

माध्यिका \(\smallint f\left( x \right)dx\; \)के लिए =  50/100 या ½

सीमा – 3 से 5 तक हैं 

⇒ \(\smallint f\left( x \right)dx = \)\(\mathop \smallint \nolimits_{ - 3}^5 \frac{1}{8}dx \)

⇒ (1/8)(x)5-3

⇒ 1/8[5 – (- 3)]

∴ X के वितरण की माध्यिका 1 है। 

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