In a Binomial probability distribution if mean $=\frac{20}{3}$ and variance $=\frac{40}{9};$ then p =
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $\frac{1}{3}$
Mean, $n×p=\frac{20}{3}$
Variance, $n×p×(1-p)=\frac{40}{9}$
$⇒\frac{20}{3}(1-p)=\frac{40}{9}$
$⇒1-p=\frac{2}{3}$
$⇒p=\frac{1}{3}$