$5.$ Consider a neural network $($NN$)$ with the following architecture:

$4$ layers

$$ layer $1($input$)$ has size $2$

$$ layer $2$ has size $3$

$$ layer $3$ has size $4$

$$ layer $4($output$)$ has size $1$

$$ all activation functions are sigmoid

The neural network is applied as a model for a binary classification problem with three

input features and output y in $\{0,1\}.$ Given an input v$,$ the network will compute p$($v$),$

the probability that v should be classified as y $=1.$

The network uses Binary Cross$-$Entropy J$()$ as loss function.

The training data is as follows: