Given that $X\sim\mathrm{B}(n,0.231)$. Find the smallest value of $n$ which satisfies $P(X\ge 1)0.9

Question

Given that $X\sim\mathrm{B}(n,0.231)$. Find the smallest value of $n$ which satisfies $P(X\ge 1)>0.99$.

Accepted Answer

$n = 18$

Worked Example 4