Question

In a binomial distribution, the occurrence and the non-occurrence of an event are equally likely and the mean is $6$. The number of trials required is

• A. $15$
• B. $12$
• C. $10$
• D. $6$

Answer 1

The correct option is B $12$

The occurrence and non occurrence of an event are equally likely.

So, here $p=0.5$ and $q=0.5$.

Mean $=np$ ...... [Given]

$\Rightarrow 6=n\left(0.5\right)$

$\Rightarrow n=12$

So, the required number of trials is $12$.

Hence, B is correct.