Question
Download Solution PDFFind the mean of x if x is a Poisson variate satisfying the condition P(3) = P(4)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
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-λ × λx)/x!
Where x = 0, 1, 2, 3---- and λ = mean
Calculation
Here x = 3 and 4
⇒ (e-λ × λ3)/3! = (e-λ × λ4)/4!
⇒ λ = 4!/3!
⇒ λ = 4
∴ mean of x in poisson distribution is 4
Last updated on Jul 9, 2025
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