Find the mean of x if x is a Poisson variate satisfying the condition P(3) = P(4)?

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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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Detailed Solution

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Given

P(3) = P(4)

Concept

In poisson distribution = it is also a discrete distribution. Poisson distribution fulfil the limitation of nomal distribution

Poisson distribution is given by f(x) = (e × λx)/x!

Where x = 0, 1, 2, 3---- and λ = mean

Calculation

Here x = 3 and 4

(e × λ3)/3! = (e × λ4)/4!

⇒ λ  = 4!/3!

⇒ λ = 4

mean of x in poisson distribution is 4

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