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P(3)=P(4)ని సంతృప్తి పరిచే పాయిజన్ వేరియట్x అయితేx యొక్క సగటును కనుగొనండి?

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  1. 2
  2. 8
  3. 4
  4. 16

Answer (Detailed Solution Below)

Option 3 : 4
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ఇచ్చినది

P(3) = P(4)

భావన:  

పాయిజన్ డిస్ట్రిబ్యూషన్=ఇది డిస్క్రీట్డిస్ట్రిబ్యూషన్ కూడా 

పాయిజన్ డిస్ట్రిబ్యూషన్ నామమాత్రపు పంపిణీ పరిమితిని పూర్తి చేస్తుంది. 

పాయిజన్ పంపిణీ  f(x) = (e-λ × λx)/x! 

x = 0, 1, 2, 3---- మరియు  λ = సగటు 

లెక్కింపు 

ఇక్కడ x = 3 and 4

⇒ (e-λ × λ3)/3! = (e-λ × λ4)/4!

⇒ λ  = 4!/3!

⇒ λ = 4 

∴ పాయిజన్ డిస్ట్రిబ్యూషన్ లో x యొక్క సగటు 4

 

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