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

Question

Philoid · Accepted Answer

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,