Determine the binomial distribution whose mean is 20 and variance 16.

Let X denote the variance with parameters n and p


p + q = 1 q = 1 - p


Given, mean = np = 20 and variance = npq = 16


npq = 16


20q = 16





Now, np = 20



n = 100


n = 100 and


The required binomial distribution is given by,



5