Binomial mean and variance
[M,V] = binostat(N,P)
[M,V] = binostat(N,P) returns the mean of and variance for the binomial distribution with parameters specified by the number of trials, N, and probability of success for each trial, P. N and P can be vectors, matrices, or multidimensional arrays that have the same size, which is also the size of M and V. A scalar input for N or P is expanded to a constant array with the same dimensions as the other input.
The mean of the binomial distribution with parameters n and p is np. The variance is npq, where q = 1 – p.
n = logspace(1,5,5) n = 10 100 1000 10000 100000 [m,v] = binostat(n,1./n) m = 1 1 1 1 1 v = 0.9000 0.9900 0.9990 0.9999 1.0000 [m,v] = binostat(n,1/2) m = 5 50 500 5000 50000 v = 1.0e+04 * 0.0003 0.0025 0.0250 0.2500 2.5000