In a Binomial Distribution, \(E(X) = 6\), \(\mathrm{Var}(X) = 4.2\) then the value of \(n\) is _____
Q.1 (viii) In a Binomial Distribution, \(E(X) = 6\), \(\mathrm{Var}(X) = 4.2\) then the value of \(n\) is _____
A. 22
B. 24
C. 20
D. 26
Q.1 (viii) In a Binomial Distribution, \(E(X) = 6\), \(\mathrm{Var}(X) = 4.2\) then the value of \(n\) is _____
A. 22
B. 24
C. 20
D. 26
Best answer
Answer: C. 20
Answer: (c) 20
\(np = 6\) and \(npq = 4.2\), so \(q = \frac{4.2}{6} = 0.7\) and \(p = 0.3\). Hence \(n = \frac{6}{0.3} = 20\).
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