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Variance of a Binomial distribution Bin(n,p) equals
Anp
Bnp²
Cnpq
Dnq
Answer & Solution
Correct answer: C. npq
1. For Binomial Bin(n, p) with q = 1 − p, variance = n × p × q.
2. Standard deviation = √(npq).
3. Mean = np; np² and nq are not variance formulas.
4. Hence (B) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 8 "Probability Distributions", §8.1 ¶§8.1_
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