Question

Which of the following is not the correct data of a binomial distribution?

• A. Mean \(6\), variance \(2\)
• B. Mean \(16\), variance \(12\)
• C. Mean \(20\), variance \(16\)
• D. Mean \(15\), variance \(5\)

Hint:

For a binomial distribution, \[ \boxed{p=1-\frac{\sigma^2}{\mu},\qquad n=\frac{\mu}{p}.} \] A pair of mean and variance is valid only if the resulting value of \[ \boxed{n} \] is a positive integer.

Answer 1

The Correct Option is D