Number of trials and standard deviation

Number of trials and standard deviation

IB Year 5 | Grade 11

\(X\) is a random variable such that \(X \sim B(n, p)\). Given that \(E(X) = 2.4\) and \(p = 0.3\), find \(n\) and the standard deviation of \(X\).

Solution:

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Answer:\(n=8\), \(\mathrm{SD}(X)=\sqrt{1.68}\approx1.30\) (3 s.f.).

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