CA Foundation · Quantitative Aptitude · Theoretical Distributions
For a binomial distribution with n = 8 and p = 1/2, which statement about its shape is correct?
The distribution is symmetric. A binomial distribution is symmetric whenever p equals q, that is p = 0.5, regardless of n. Skewness appears only when p differs from 0.5: positive for p below 0.5 and negative for p above 0.5.
- AIt is symmetricCorrect
- BIt is positively skewed
- CIt is negatively skewed
- DIt is J-shaped
Explanation
A binomial distribution is symmetric when p = q = 1/2. It is positively skewed when p < 1/2 and negatively skewed when p > 1/2. Here p = 0.5, so it is symmetric.
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