Given X∼Binomial(n,p)X \sim Binomial(n, p)X∼Binomial(n,p), consider the variable Y=n−XY = n - XY=n−X. What is the distribution of YYY?
Binomial(n,1−p)Binomial(n, 1-p)Binomial(n,1−p)
Binomial(n,p)Binomial(n, p)Binomial(n,p)
Poisson(n(1−p))Poisson(n(1-p))Poisson(n(1−p))
NegativeBinomial(n,1−p)Negative Binomial(n, 1-p)NegativeBinomial(n,1−p)