The mean and variance of a Binomial distribution are 4 and 4/3 respectively. The number of trials is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 6
For a binomial distribution, mean = np and variance = npq.
\( np=4 \)
\( \displaystyle npq=\frac{4}{3} \)
Dividing the second by the first:
\( \displaystyle q=\frac{1}{3} \)
\( \displaystyle p=1-\frac{1}{3}=\frac{2}{3} \)
\( \displaystyle n=\frac{4}{2/3}=6 \)