jadeossowski3598 jadeossowski3598
  • 10-10-2017
  • Mathematics
contestada

Let x have a poisson distribution with a variance of 3. find p(x = 2).

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LammettHash
LammettHash LammettHash
  • 11-10-2017
Since the variance of a Poisson distribution with rate parameter [tex]\lambda[/tex] is [tex]\lambda^2[/tex], we know that [tex]\lambda=\sqrt3[/tex]. So,

[tex]\mathbb P(X=2)=\dfrac{e^{-\sqrt3}(\sqrt3)^2}{2!}=\dfrac3{2e^{\sqrt3}}\approx0.2654[/tex]
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