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Random Variableshard
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Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). What is the limit of the distribution as n→∞,p→0,np→λn \to \infty, p \to 0, np \to \lambdan→∞,p→0,np→λ?