If X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p) and Y∼Binomial(m,p)Y \sim \text{Binomial}(m, p)Y∼Binomial(m,p) are independent, what is the distribution of X+YX+YX+Y?
Binomial(n+m, 2p)
Binomial(n+m, p)
Poisson(n+m, p)
Negative Binomial(n+m, p)