A discrete random variable follows Poisson distribution with parameter $3$. The…

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A discrete random variable follows Poisson distribution with parameter $3$. The value of $E(X-6)^2$ is:

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For Poisson distribution, Mean $= \lambda = 3$ Variance $= \lambda = 3$ $E(X-6)^2 = \text{Var}(X) + (E(X) - 6)^2$ $= 3 + (3 - 6)^2 = 3 + 9 = 12$

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