CA Foundation · Quantitative Aptitude · Theoretical Distributions
If X follows a binomial distribution with n = 6 and p = 1/2, which statement about the distribution is correct?
The distribution is symmetric about 3. A binomial distribution is symmetric whenever p equals 0.5, and its centre is the mean np, which here is 6 times 1/2, equal to 3. Skewness arises only when p is not 0.5.
- AIt is symmetric about 3Correct
- BIt is positively skewed
- CIt is negatively skewed
- DIt is symmetric about 6
Explanation
A binomial distribution is symmetric when p = 0.5. The mean is np = 3, so it is symmetric about 3. It would be skewed only if p differed from 0.5.
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