Discrete Random Variables (DRV) - Minimum Number of Binomial Trials

Discrete Random Variables (DRV) - Minimum Number of Binomial Trials

Given that \(X\sim\mathrm{B}(n,p)\) and \(\mathrm{Var}(X)=\frac{2}{3}\mathrm{E}(X)\), find the least value of \(n\) such that \(\mathrm{P}(X\ge 1)>0.95\).

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Answer:\(n = 8\)

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