यदि P(X = 0) = 0.6 के साथ X एक पॉइसन वैरिएट है, तो X का विचलन क्या है?

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. \(\rm{ln} \left( \dfrac{5}{3} \right)\)
  2. log1015
  3. 0
  4. ln 15

Answer (Detailed Solution Below)

Option 1 : \(\rm{ln} \left( \dfrac{5}{3} \right)\)
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिया गया है:

पॉइसन वितरण में

P(X = 0) = 0.6

सूत्र 

पॉइसन वितरण दिया जाता है 

f(x) = eλx/x!

गणना 

P(X = 0) = eλ0/0!

⇒ 0.6 = e

⇒ 1/eλ = 6/10 = 3/5

⇒ eλ = 5/3

दोनों पक्षों का लघुगणक लेने पर,

⇒ logeeλ = loge(5/3)

∴ λ = Loge(5/3)

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