3.41 Note 3.3 showed moments of the hypergeometric distribution (3.17). Letting p =

n+1/n, show that n₁₁ has the same mean as a binomial random variable for n1+

trials with success probability p, and that it has its variance multiplied by a finite population correction factor (n - n1+)/(n - 1). (The hypergeometric is similar to the binomial when n₁+ is small compared to n.)