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

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  4. ln 15

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Option 1 :
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दिया गया है:

पॉइसन वितरण में

P(X = 0) = 0.6

सूत्र 

पॉइसन वितरण दिया जाता है 

f(x) = e-λλx/x!

गणना 

P(X = 0) = e-λλ0/0!

⇒ 0.6 = e-λ

⇒ 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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