the cofficient of variation of poission distribution with mean 4 is
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Calculating the Variance
To calculate the mean of a Poisson distribution, we use this distribution's moment generating function. We see that: M( t ) = E[etX] = Σ etXf( x) = ΣetX λx e-λ)/x! ... We then use the fact that M'(0) = λ to calculate the variance. Var(X) = λ2 + λ – (λ)2 = λ
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