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1. Let $X$ be a Poisson random variable with parameter $lambda$. Provided $lambda$ is not too small $frac{X- lambda}{sqrt{lambda}}$ is approximately distributed as $N(0,1)$, so
1. Let $X$ be a Poisson random variable with parameter $\lambda$. Provided $\lambda$ is not too small $\frac{X- \lambda}{\sqrt{\lambda}}$ is approximately distributed as $N(0,1)$, so that $$ P\left(-z_{\alpha / 2}
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