एक यादृच्छिक चर X को पैरामीटर n = 25 और p = 0.2 के साथ द्विपद रूप से वितरित किया जाता है। चर X की विषमता है:

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. 0.40
  2. 0.35
  3. 0.25
  4. 0.30

Answer (Detailed Solution Below)

Option 4 : 0.30
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दिया गया है

n = 25

p = 0.2

q = 1 – p = 0.8 

सूत्र

द्विपद वितरण की विषमता βहै

β1 = (q – p)/√(n × p × q)

p = सफल घटना की प्रायिकता

q = असफल घटना की प्रायिकता

गणना

β1 = (0.8 – 0.2)/√(25 × 0.8 × 0.2)

⇒ 0.6/√(40

∴ चर X की विषमता 0.3 है। 

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