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

1 answer:

7 0

Since the variance of a Poisson distribution with rate parameter $\lambda$ is $\lambda^2$ , we know that $\lambda=\sqrt3$ . So,

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

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