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use poisson distribution to show that e(x) = 1/λ var(x) = 1/λ

Question

use poisson distribution to show that
e(x) = 1/λ
var(x) = 1/λ

Explanation:

Answer:

For a Poisson distribution with parameter \(\lambda\), \(E(X)=\lambda\) and \(Var(X)=\lambda\).