If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution.

Question

Philoid · Accepted Answer

Let X denote the variance with parameters n and p

p + q = 1 ⇒ q = 1 - p

Given, mean = np = 9 and variance = npq = 6

npq = 6

⇒9q = 6

Now, np = 9

⇒ n = 27

The required binomial distribution is given by,