Let X1,…,Xn∼Bernoulli(p)X_1, \ldots, X_n \sim \text{Bernoulli}(p)X1,…,Xn∼Bernoulli(p) be i.i.d. What is the distribution of ∑i=1nXi\sum_{i=1}^n X_i∑i=1nXi?
Binomial(n,p)(n, p)(n,p)
Poisson(np)(np)(np)
Negative Binomial(n,p)(n, p)(n,p)
Hypergeometric