If 4, 5, 6, 6, 6, 6, 6, 6, 6, 7 be a random sample from a Poisson population with parameter λ, then an unbiased estimate of λ is:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 4.2
  2. 5
  3. 5.8
  4. 6

Answer (Detailed Solution Below)

Option 3 : 5.8
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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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Formula

λ  = N/n

Calculation

N = (4 + 5 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 7) = 58

N = 10

⇒ λ = 58/10

∴ Unbiased estimate of λ is 5.8

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