The mean and the variance of a binomial distribution are 6 and 1.5 respectively. The number of trials is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 8
For a binomial distribution, mean = np and variance = npq:
\(np = 6,\quad npq = 1.5\)
Dividing the variance by the mean,
\( \displaystyle q = \frac{1.5}{6} = 0.25 \)
\(p = 1 - 0.25 = 0.75\)
\( \displaystyle n = \frac{6}{0.75} = 8 \)