If the mean and variance of a binomial distribution are 18 and 12 respectively, then the value of \(n\) is _____.

Q.1 (viii) If the mean and variance of a binomial distribution are 18 and 12 respectively, then the value of \(n\) is _____.

A. 36

B. 54

C. 18

D. 27

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

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Answer: B. 54

Answer: (b) 54

\(np = 18\) and \(npq = 12\). Dividing, \(q = \frac{12}{18} = \frac{2}{3}\), so \(p = 1 - q = \frac{1}{3}\). Then \(n = \frac{18}{p} = 18 \times 3 = 54\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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If the mean and variance of a binomial distribution are 18 and 12 respectively, then the value of \(n\) is _____.

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