x का माध्य ज्ञात कीजिए यदि x एक प्वासों प्रसरण है जो P(3) = P(4) की स्थिति को संतुष्ट करता है?

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 2
  2. 8
  3. 4
  4. 16

Answer (Detailed Solution Below)

Option 3 : 4
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दिया गया है

P(3) = P(4)

अवधारणा

प्वासों वितरण में = यह एक असतत विभाजन भी है। प्वासों वितरण सामान्य वितरण की सीमा को पूरा करता है

प्वासों वितरण दिया जाता है f(x) = (e × λx)/x!

जहाँ x = 0, 1, 2, 3---- और λ = माध्य

गणना

यहाँ x = 3 और 4

(e × λ3)/3! = (e × λ4)/4!

⇒ λ  = 4!/3!

⇒ λ = 4

प्वासों वितरण में x का माध्य 4 है। 

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