CA Foundation · Quantitative Aptitude · Theoretical Distributions
Which statement about the binomial distribution with n = 10 is correct?
A binomial distribution is symmetric only when p = 0.5, so n = 10 with p = 0.5 is symmetric. For other p it is skewed. The variance npq is always smaller than the mean np, and the mean is np, not npq.
- AFor p = 0.5 the distribution is symmetricCorrect
- BFor p = 0.2 the distribution is symmetric
- CIts variance always exceeds its mean
- DIts mean is always npq
Explanation
A binomial distribution is symmetric only when p = q = 0.5. Variance npq is less than mean np since q < 1, so the third is false. The mean is np, not npq.
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