5 immune boosters to stave off colds and flu Easy, affordable things you can do to help prevent and fight against colds and flu, before you even get a sniffle. by Vivian Manning-Schaffel / Dec.20.2017 / 10:59 AM ET
The binomial coefficient is the number of ways of picking unordered outcomes from possibilities, also known as a combination or combinatorial number. therefore gives the number of k-subsets possible out of a set of distinct items. For example, The 2-subsets of are the six pairs , , , , , and , so . The number of lattice paths from the origin to a point ) is the binomial coefficient (Hilton and Pedersen 1991).
The binomial distribution is therefore given by P_p(n|N) = (N; n)p^nq^(N-n) (1) = (N!)/(n!(N-n)!)p^n(1-p)^(N-n), (2) where (N; n) is a binomial coefficient. The above plot shows the distribution of n successes out of N=20 trials with p=q=1/2. The...