Solution (source code)

= Solution

The <sigmoid function> is strictly increasing. Therefore the risky region is $\widehat\eta(x)\geq\log\{p/(1-p)\}$. Its <decision boundary> is the <hyperplane>
$$
\boxed{-1.322701-0.005916\,\mathrm{income}-0.008580\,\mathrm{age}+0.012981\,\mathrm{amount}=\log\frac{p}{1-p}.}
$$
Points on or above this score threshold are assigned to the risky class. For $p=1/2$, the right side is zero.