Question

Mean and variance pair is given below. A pair representing the data of a binomial distribution is

• A. \((7,4)\)
• B. \((12,5)\)
• C. \((15,6)\)
• D. \((18,10)\)

Hint:

For a binomial distribution, \[ \boxed{ \mu=np,\qquad \sigma^2=npq. } \] To verify a given mean-variance pair, \[ \boxed{ p=1-\frac{\sigma^2}{\mu}, \qquad n=\frac{\mu}{p}. } \] A valid binomial distribution requires \[ \boxed{n} \] to be a positive integer.

Answer 1

The Correct Option is C