Ononot — Let X1, X2, \dots, Xn be a random sample of size n from a \t

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Let $X_1, X_2, \dots, X_n$ be a random sample of size $n$ from a $\text{Poisson}(\lambda)$ distribution. What is the Cramer-Rao Lower Bound (CRLB) for the variance of any unbiased estimator of $g(\lambda) = e^{-\lambda}$ ?