Given that $x_1=0\mathrm{.}5,b_1=-0\mathrm{.}2,b_2=0\mathrm{.}4,w_1=0\mathrm{.}2,w_2=0\mathrm{.}8,y_t=0\mathrm{.}4,$ the learning rate, $=0\mathrm{.}1,$ and the activation function, $(v)=\frac{1}{1+e^{-v}},$ using the artificial neural network $($ANN$)$ below $(b_1,b_2$ remain constant$)$:

$($a$)$ use Python to compute the output of this ANN, $y=(o_1)$;

$($b$)$ use Python to update the weights $w_1$ and $w_2$ after back$-$propagation. this is just basic implementation that is not giving correct output, given me complete solution, these basic steps i could have from the ChatGpt, and it seems like answer that is provided is written by ChatGPT, please give me complete implementation for my question