Question

For a binomial variate \(X\) if \(n=5\) and \[ P(X=1)=8P(X=3), \] then its variance is

• A. \(\dfrac{1}{5}\)
• B. \(\dfrac{4}{5}\)
• C. \(\dfrac{3}{5}\)
• D. \(\dfrac{2}{5}\)

Hint:

For a binomial distribution, \[ \boxed{ \text{Variance}=npq, } \] where \[ \boxed{q=1-p.} \]

Answer 1

The Correct Option is B