A logistic regression model is used to predict if a child is able to write his$/$her name $($Y$=1),$ using age in months $($x$)$ as a predictor variable. The parameter estimates are $\backslash$beta $1=0\mathrm{.}02$ and $\backslash$beta $0=0\mathrm{.}4.$ How likely is a $5$ year$-$old child to be able to write his$/$her own name?

Question $84$ options:

$0\mathrm{.}31$

$0\mathrm{.}69$

$0\mathrm{.}43$

$0\mathrm{.}80$