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?
Poisson(λ\lambdaλ)
Normal(0,λ0, \lambda0,λ)
Exponential(λ\lambdaλ)
Uniform(0,λ0, \lambda0,λ)